Short, satirical answer: Yes. Absolutely. He's embarrassing, awful, and I hope he dies
My actual answer, under a cut because this got way too fucking long:
I actually don't, and I'm a little enraged by it. I know he hasn't had the most screentime in these episodes so far (I've seen the promo, I know that's changing), but he really just....stands out, in spite of that. I'll admit, I didn't see myself getting attached to the guy who's first line was about a butt-dance, but he's just so fucking weird?? He's embarrassing but it's in a way that feels so real and human that it's actually kind of endearing.
Of course I know he's a psychopath, of course I know he's crazy, but the way Freddie Stroma plays him is so fucking interesting to me because he comes across as so naïve and somehow innocent of all damn things, despite being a seasoned killer.
Maybe they could shake it up in the show, but I think I remember reading somewhere that the crew says he was inspired to become Vigilante because of Peacemaker, and that he trained himself to reach the point he did? That's so fucking funny to me! He's not like these other characters who have background in this shit, he just decided to do it! He trained himself with all these weapons, he trained himself to fight, he probably made his own damn suit! That's absolutely hilarious to me!! And he hasn't been caught?? With how fucking stupid this man is?? Absolutely amazing!! We already know the police are well aware of him, they mention him in episode 1.
Maybe my opinion of him will change as more episodes come out. I've seen people theorize that his arc will revolve around him becoming a big bad, since he looks up to Peacemaker so much, and I think it's safe to say his own arc revolves around him getting better. On one hand, yes, I can see that, and yes, I think it'd be interesting to see. On the other hand, I kinda want him to be this funky little guy who just annoys the shit out of everyone, and I'm still hung up on the scene where he kills the Senator's family for Chris. That's his idol, he knows he's a killer, but he doesn't seem to hold any resentment towards him for not being able to kill them! That's interesting to think about!
And of course, I have my own personal thoughts on him, I have my own headcanons, if you will. I doubt I'll be sharing them on tumblr, but I've thought a great deal about Adrian and it shows and it's embarrassing but it is what it is. I'm endeared to him, for better or worse.