Useless,"out of time" games on my profile

Online chess games that simply "run out of time" when an opponent does not play farther than 1,2,3...etc moves, do not count as anything: a) ratings do not change.  b) I do not wish to keep the notation - some- really quick games.  c) I do not wish to see such games on my profile list, even though, I supposedly won. May I recommend that such games be placed in the/a quitters box or something somewhere (at least optional) because I gained nothing...Still, I understand that daily circumstances may occur that cheats us of time, or, maybe a higher or lower rated player decides not to play that particular game because of the great differences...Since we can not cancel once a game begins...Still, there is no real gain or credit or intelligence or someone that is awake on the other side of the board, so, I need the option to remove such games from my profile. Such games make searching more difficult, so, if I could have a remove to quitters column/box/whatever...(check button) before searching, it would no doult be useful.