I agree with this. On the spirit of the topic i will share the story of one memorable game.
It was way back, cant even remember the season. It was the time that Yorick got his first round of nerfs, still stronger than today. I was playing Yorick against Olaf and had a field day. On our mid lane the exact opposite. Our Cass was having a huge trouble called Le Blanc. And by huge i mean 0/5 huge. Our jungler started flaming her. Out bot joined also. But then i offered her a lane swap. "Cass, Olaf is pretty weak now. Want a swap so you can farm till you become a late game monster? I can handle LB pretty easily."
So it happened. Next recall (sadly with another Cass death) we swaped. Since top was a playground for me and didnt had to recall for that time, i had the money and bought a Spirit Visage. Went mid and LB went ham on me bringing me to 30% hp. But 20 sec later i was full hp. This story continued. LB was bursting me, i was healing and farming happily. 5 minute later they made the decision to swap back. And so we did. The swaps went back and forth a couple times until we went back to Cass vs Olaf top.
Cass was having it easy top, since Olaf could not do anything to her. Her farm skyrocked and managed to snatch 2 kills. The game went on with me participating on scirmishes being the annoying neverdying meatshield. Since Cass was at that island called top and my team had a fed Yorick to fight with them, the complains dissapeared. Teambattles came and top laners joined the fights. Cass was finally a monster getting multiple kills. The teamfights were won clearly. The game was ours.
The moral of the story is that if i joined the flame squad, the game would go to hell. But instead i offered a solution. And that worked. After all it is a teamgame and we should play as one. I never flame, try to offer solutions and keep the team spirit up. After all i am a support main and have to rely on teamplay. It is not easy to fight 5 enemies, a lot harder if you have to fight your own team as well. Stay positive summoners.
PS: Muting is not a solution to the problem. Is a solution to the symptom. So while it helps, it is not an excuse for flaming.