Well sometimes, other times, peopel need to make up for what they've done, with more than just words.
If someone breaks my shit, words won't replace it, but handing me the cash to get it repaired/replaced will fix my problem, and depending on the circumstances, if it was an accident negate the need for an apology alltogether, they massed up, they paid the price, no hard feelings, accidents happen for all of us, and having the respect to not let others pay for your accidents is a good thing. Trying to blame it on the accident, as a way of avoiding to pay for it, leaving me with the bill, is a selfish and childish in a "i said sorry so i'm not repsonsible anymore" kind of way, that would really piss me off.
Even if it's not a big tv. I once gave a friend a wedgie, so hard that his underwear tore apart, and right after apollogizing, and asking if his ass was still in one piece, i handed him cash, so he could replace what i had broken.
If my brother had broken my stuff while rageing, i'd make him pay for repairs/replacement, and need an apology, since it wasn't an accident, and probably tell him to keep his hands the fuck off anything of mine, if he couldn't treat it with respect or controll his rage.
Luckily, he doesn't so i don't have that problem.
Also, accepting an apology won't neccecerily make things fogiven and forgotten, especially the later.
One of my classamtes pretty much screwed me and the rest of our group over on the second semester, which was all group work, by showing up only when he cared to, and working as he pleased, contributing very little, not due to lack of skill, but to lack of doing anything.
I don't care about it now, the semester is over, and in most circumstances, i'll not treat him differently because of it, but if it ever comes to group work again, i'll try to avoid getting in a group with him again, cause i don't wanna spend my school time acting as a kindergarden teacher for a class-mate who can't pull himself together.
Liekwise, if my brother had done as the OP's, i wouldn't stay mad at him forever, but untill he had learned to controll his rage, i would be cautionous about having my stuff around him when he was playign games.