Live Chess

It really does seem silly to me. When creating or accepting a seek, you agree to play *one* rated game, not a pair. Players might simply not have the time or desire for another game, there's really nothing unsportsmanlike about not wanting a rematch.
I don't understand how it would make "chess.com actually look like a real chess". You rarely get to choose your opponents in rated games, and if you do, there's few occassions to play the opponent twice (except for double round robins, which are an uncommon sight).
How often do you play bullet?
But you do have a point, there should be a task of creating a 3 games 'tournament', if you wish.
Also, about real chess: i'm speaking of recreational chess, when you meet with someone and play. I hope you don't take this site and everyday play as tournament games. Also, what happens on chess.com live is as much different from tournament as it is from everyday, recreational chess, thus making your comment in second pasus void.

...Players might simply not have the time or desire for another game, there's really nothing unsportsmanlike about not wanting a rematch...
And what you're describing here is an ideal case. There, actually, IS much unsportsmanlike here.
Nope.