If you don't honor a teammate after a game you will be put on a losing team
I have played more than 500 games over multiple accounts and I have figured with my play consistent if you do not honor a teammate after a game you have a 24% chance winning the game compared o my 57% chance of winning a ranked game.
if you would like the statistics in excel format I would be more than happy to post the results.
This evidence shows that RIOT is pairing better players with who honor those of teamamtes.