What's the role of suo character? He is considered as main character with nirei or as deuteragonist but I see he has no importance outside protecting nirei!. I don't understand the hype around his mysterious aura
I think probably what you're looking for is a more flashy fight/action centric series then! You'd probably enjoy all this time you're putting into sending anonymous asks about a show you don't see the appeal of more if you spent it instead on media you can enjoy! However, I will absolutely take this opportunity to gush about Suo you are giving me on a silver plate happily! So let's talk about why Suo is so fascinating narratively!
Labeling him as a deuteragonist is actually pretty spot on, to be honest. He is a character that sticks by the protagonist's side pretty consistently throughout the story. Suo as a character gives advice to Sakura about what will help him grow and achieve what he wants as class captain as well as provides an interesting combination of parallels as well as differences in perspectives compared to Sakura. Additionally, Sakura's presence draws forth the aspects of Suo's character that are likely to be developed within the story. Let's start with how Suo provides a difference in perspective for Sakura!
There is more strength in drive and ideals than in physical strength
Suo says it pretty clearly to Sakura before his match in the Shishitoren arc-
When he first met Sakura, it is very likely his first impression was 'ah, here's yet another brute who thinks he can beat others up and claim himself to be the strongest'. The same kind of person Sakura calls weak or lame himself. However, even Sakura's goal that he says to everyone in the beginning... kind of reflects this idea that physical strength gives you value. He judges Nirei because he can immediately tell Nirei isn't a fighter yet is a student at Furin, he thinks the only thing that is important is winning fights and making sure everyone knows they can't bend him under their will. Sakura thinks the only thing valuable about himself is his fighting ability/strength. But what is shown through his actions? That he protects those who can't defend themselves. That he is pissed off when someone enjoys causing others pain or suffering. Outside of the manga, when asked about what Suo's dream is, he says 'emancipation of slaves'. Right from the get-go he is challenging Sakura to start to think about what his purpose is when he fights. Because it's not really about just proving he's the strongest guy around. Why does this bleed so much into what Suo says to Sakura? Well, for Suo-
2. Empathy is the most important thing to possess
Suo is extremely good at understanding where other people are at emotionally/mentally. A LOT of his dialogue is trying to explain how a person might be feeling or encouraging others (rather forcefully at times haha) to try to demonstrate empathy themselves.
Suo is the calm to Sakura's storm. Except. Suo isn't actually the calm. Not in truth. This is part of why he is so intriguing as a character. It is also where Suo starts to actually parallel Sakura. Because Suo is-
Incredibly so. The difference is, Sakura wears his heart on his sleeve. He doesn't hide how he feels or his inner thoughts at all because Sakura wants to be true to himself no matter what. It's hard for him, it is agonizing for him at times because of his bad prior experiences, but it is still something he tries to do at all times. Suo, however? Keeps those emotions hidden behind a "friendly" smile most of the time (to talk towards him being appealing- a lot of people like characters who put up fronts. I am included in this 'lot of people' lmaoo. I am such a sucker for a character who puts up a front to guard themselves or keep others at an arm's length).
But Suo gets angry. Incredibly so. He also judges others all the time. He's VERY opinionated, but he doesn't often state any of these opinions so directly. It's important to Suo that he upholds appearances and comes across as disciplined, calm, and collected. Sometimes though, he is anything but. Which is what we're shown in the Keel arc. Keel takes advantage of kind people who are just strong enough to be useful, but weak enough that they can be beaten into submission and manipulated. And that? Already pisses off Suo I'm sure. But then, on top of everything else, Suo is kept from running to the aid of someone he cares about. Someone who has such good drive, who also has a strong core but has some ways to go in being able to act on that drive. Suo is kept back from saving his friend and Nirei is beaten into unconsciousness. So what happens? Attempted murder. Suo's anger and frustration boils over. He hates these people. He hates seeing those he cares about and seeing those who can't defend themselves, broken. So he's going to put an end to it. To them. "Nice Guy" façade be damned. "The level headed one" be damned. And we get this look at Suo in a chapter literally titled "Extreme Emotions"
Which like, if you wanna talk about why his character garners a lot of hype, I think a large part of it is because of his aura when he's genuinely mad. It's the duality of it all.
I don't have as smooth of a transition for this one but what else does Suo do that Sakura absolutely does as well?
2. He keeps people at an arm's length; he doesn't like letting people in
This is also where Suo has a lot of duality, but here it makes him something of a hypocrite. He tells Sakura it's important to delegate and rely on others alongside Nirei. He pokes and prods Sakura to try to get him to open up to them. To not assume how others feel. But Suo doesn't show that himself. The ONLY thing Suo has honestly given about himself is that he has a mentor who taught him the 'hodge-podge' martial arts he uses as his fighting style. Everything else? Jokes, lies, dismissive words. Suo is hardly ever injured or dirtied in a fight because it isn't a conversation to him. He's the one doing the talking. He's the one teaching a lesson to the other person. The other person doesn't need to say anything to Suo. He's already pretty damn sure what kind of person they are. He doesn't eat with the others because he claims he is on a diet. It keeps him from participating in what is probably the BIGGEST symbolism/metaphor for personal connections in the story. Because Suo doesn't try to connect with others. He actively avoids it.
So uh, yeah! That's why I think people find Suo interesting and get hyped about when he's on screen/in chapter panels! I am sure there are other things that could be said, but I hope I could offer some insight!