If I block a player...
...it generally means I do not ever want to play with them again. They were a negative experience. They either fed, flamed, afk'd, or a combo of the 3. I do not want, nor need that in my goddamn silver 3 games that I am trying to claw my way out of tooth and nail which is markedly difficult when every lane is 0-4 by 7 minutes every game.
Please, Riot. Make it so you have literally zero chance to be matched with blocked people. I don't care if I have to sit in queue for another 40 seconds. 'cos all the last two games have done is tilt me, make me flame a little (already on thin ice there), and lose me a bunch of LP I could have easily lost myself without the help of a single person just idly walking around the jungle all game and spamming people's death timers like some sort of low budget discovery channel documentary.
I'm trying to reform from my previous toxicity. Your system makes this very difficult when I'm surrounded by it literally every match no matter how hard I try to get away from it. This includes; blocking people, reporting people, full muting entire games, and trying to positively shot call which usually leads to me being told to either kill myself, eat a bag of dicks, or any other colorful phrase you can imagine. This is counterproductive.