Oh come on, drop the misty eyed gushing over the 'rebel' Kimi. He behaves like an ass, but it's accepted that's the way he is, and we all have a good laugh at him and with him. Hamilton swears, gets criticised, Kimi swears, gets criticised. Kimi no longer has the corporate world of McLaren hanging over him, that is the main difference. Hamilton does care what others think of him, although that's not always a negative behavioural trait to have.
"Rebel" is your own description, not mine, Interesting that you say he acts like an ass though, I've never heard of him giving away the teams telemetry, nor publicly accusing his team-mate of disrespecting him, and wrongfully as it turned out, and although we've heard Kimi say he doesn't care about the other drivers i've never heard him refer to the backmarkers using derogatory terms, nor lying in order to cheat, and then having the neck to give a press conference, after being caught lying, in which he stated "I'm not a liar"
As for the McLaren corporate world hanging over him, well, Kimi had that when instead of going back to the pits after the car failed he buggered off onto a boat and had a drink, like i said, at least he's true to himself and what you see is what you get, we've seen that many different Lewis's its kinda hard to tell which is the real one, oh and the corporate world of McLaren didn't stop him in Hungary when he rather sneakily went against a team agreement.
Of course Lewis cares what people think, it affects the brand you know.