Cooler: This version of the older brother I see has had challenges and has a hard time with his family. How he had to work hard to achieve his status and position.
Maturity: Being the eldest sibling of the two, Cooler took more of the responsibilities due to try and wanting to prove his worth to his father. He felt quite the jealousy towards his younger brother who was born with a huge power due to him being a mutant, a rare genetic that happens. Cooler trained so no one would dare try to challenge him, but he is a boss that treats his crew well. He hated his father for not seeing the damage that's been caused and being not putting his foot down. He hated his brother for being an entitled, spoiled brat, not knowing that Freeza was in need of serious counseling. Cooler was able to keep himself from going mad, due to finding other activities to do, while also avoiding his father as much as possible. He would also avoid Broly like the plague due to learning how he ended up in hell.
Behavior: Cooler is normally calm and collected with a stoic expression. He is someone that doesn't sit by as he would rather get things done. Many things don't get the best of him, unless they're his brother who's the one who antagonizes him. The other being his father who he just remains silent whenever it comes to plans, this is from the disappointment he sees in him. In hell he isn't nearly as aggressive as his brother, he just prefers to be alone, unless he decides who he'll speak with. He does have his sass and quirks but that's only to those who deserves it. Those of the neighborhood he would rather not interact with, making it a rather lonely afterlife existence. The only ones who he can trust are his squadron.
Relations: His father is more focus on these projects, while trying to reconnect. His brother became more outrageous since he arrived, and has become the "Queen Bee" of that neighborhood where if anyone would dare challenge him. Only the two onis could keep him in check but not for long. Doesn't help on how childish he is if he didn't get what he wants. The Ginyu force were the same minus the captain who's trapped as a frog, since Vegeta's the one who crushed him with his foot. Raditz who is pretty chill. Zarbon and Dadoria weren't very different, though Cooler had to make it clear he wasn't interested in hooking up with ether. The one who seems less trouble was Cell, who despite carrying the DNA from the majority of people he disliked, turned out to be the least annoying. His squadron view him in positive light and stick by his side. Turles is pretty chill as he doesn't try to mess with the purple emperor, Slug is a jock who doesn't really do much chitchatting, only focus on working out. Bojack and his crew he tends to avoid as much as possible, too much noise and distractions as he calls it. Broly is someone Cooler avoids like a plague.
This version of Cooler I see as someone who was forced to mature and developed a hatred towards his family, mostly from not getting any attention from his father, or love. He use to have a good relationship with his brother, only for their father to favor and spoil Freeza, unknowing it was poisoning his mind and become corrupted. Cooler is a proud frost demon with respect, yet he is never really showing it due to trauma and neglect. He refuses to open up, only acting on negative traits to those that deserve it. Only those close to him know why.