See, here's the problem. Riot doesn't want to do it for whatever reason they feel justifies their decision to not do it.
ON THE OTHER HAND,
if they did it, I wouldn't have to be put on a teams with people that tell me to kill myself or that threaten to physically harm me if they saw me walking down a street (Thrice since the weekend). I wouldn't be put on teams with rage-quitters (Twice since the weekend, and yes they were rage-quitters. It's easy to tell when they drop out right after multiple deaths after trash-talking the enemy team saying they'd win 1v1s) or people that throw objectives out of spite (Happened twice as well, and yes it's intentional when the enemy is attacking tower at level 4, you're full health, and instead of defending tower they completely leave it to go to the other side of the map, vocal about how they don't care about it and are fed up with it).
Y'know what's weird? Riot's ideologies and approaches to almost everything runs completely counter to those of 1st world nations.
"We don't believe in putting people in prison because prison sucks and we think criminals should reform"
So your idea of proper reform involves allowing criminals to run free, with NO guaruntee whatsoever that they'll actually reform instead of causing problems for non-toxic players--which is quite common--and hoping for the best? Let's ignore the fact that a high amount of "toxicity" is actually reaction to toxicity. Not grouping toxic players away from non-toxic players causes more problems, I believe.
_It's almost as if being in prison doesn't deter people from wanting to do anything to put them back in prison.
"They'll have terrible queue times"_
YES. THAT'S WHAT HAPPENS WHEN YOU COMMIT CRIME. YOU'RE PUNISHED. PUNISHMENT IS ACTUALLY AN EFFECTIVE CRIME-DETERRENT. WHO KNEW?
See, I know a LOT of people who have been locked up from anywhere between a weekend to most of my life, and I'm pushing into 30. You know what happens when they get out?
Those who were there for extreme short-term find detriment to their longterm living if they kept getting locked up for only a few days, only to end up locked up again and threatened with even longer sentencing, at which point they realize that they have too much going to risk it anymore.
Those who were locked up for longer periods come out mentioning that whatever they did wasn't worth it. They miss their freedom. They miss what they could accomplish. Most of all, they regret what it's done to their long-term standing in society. Maybe someone slips up again, but one person in comparison to the many I've known is better than anyone more.
Now, those that are locked away for multiple years, reach decades? They're the ones who truly come out with every regret imaginable. They missed their children's births and childhoods. They missed family passing and funerals. They have no jobs. They have no friends. They have family but that family will always see them differently. They have their freedom, but it's just not the same because that freedom will always come with a stipulation. They come out and every ounce of their being screamed "I'm NEVER going back. I've lost too much."
I do not see any logical reason as to why a "Prisoner Island" system wouldn't work. There's nothing keeping anybody in "toxic queue" from reforming. If they weren't truly toxic people, they won't have any more offenses occur within 10 or even 20 games. If they WERE truly toxic, guess what? That means that they DESERVE to be in that punished state. Now, let's not pretend like a "Prisoner island" system isn't in place. After you commit one offense, you aren't just let off scott free. You're put into a punishment hierarchy that escalates. Punishments are NOT handled in a way that they'd lead us to believe.
I think that the only reasoning Riot has is the last that they spoke of--it's too much work and too much money to spend on players that don't deserve it. A prisoner island system could be just the fix this game's community needs. TOO BAD IT COSTS MONEY AND EFFORT.
[zombie-brand-facepalm]
[End Rant. Apologies]