Funny, and here I was thinking Ten was the whiny, bratty man-child.
"The laws of time are mine. And they will obey me!!!"
"I'm the winner. Timelord Victorious."
"I don't want to die!!!"
What happened after each of those instances? Ten realized his mistakes. He paid for it when Brook suicides herself. Ten gives his life so Wilf won't have to, even though Wilf wants
to die so Ten won't have to.
You're not wrong that Ten had some of these same issues. The part where you're wrong is that unlike Eleven, Ten actually learns
from these missteps.
Did he learn, really? After the who Timelor Victorious moment, he saw the Ood, knew what it meant, so what did he do? He ran, gave himself a little farewell tour, except then, when finally giving in to his destiny and exchanging places with Wilf (and for a moment he actually looked like he wouldn't) what does he proceed to do? Oh yes, he goes on another
farewell tour, in fact he holds off his regeneration so long he almost blows the Tardis to pieces. Not to mention popping to visit Rose before she knows who he is, but nah, that'll probably be ok, no paradox there!
not to mention manipulating all of time and space to make Donna rich.
Of course eleven had a bit of a farewell tour as well, the difference is, when the moment came, he went willingly, nobley, and he knew he was going to his actual, final death as far as he knew, whereas Ten was pretty certain he'd regenerate.
I know which one's the better man.