I have a couple of issues with this post.
- Your complains are nonsensical and completely generalized.
- You don't seem to know yourself, what champions offer to players, despite mentioning fun and style.
Kalista doesn't make all non-sticky melees invalid. Is there even such a thing as a sticky melee? Anyway, circumstances and builds are also what can dictate a game. Nasus is nowhere near as sticky as Olaf right? Well boehoe, Nasus with 40%(or 45%)CDR and Frozen heart can spam wither until hell freezes over or you become so slowed you're permanently stuck on the map. You're not escaping that one.
Azir isn't wrecking jack shit. He's overnerfed, and really buggy/inconsistent to do anything worth mentioning outside of organized 5v5s in which he offers a specific niche. Tahm is, was, and will be a problem. There's no middle ground for him, he will either be cancer or over-nerfed. The meta also favors him. And grabbing a teammate out of existance is literally cockblocking EVERY SINGLE FUCKINGCHAMPION IN THE GAME, and not a specific class like the ones you mention.
Pre-rework Mordekaiser is a false example. Logical fallacy which I won't waste time iterating. Poke champions with thunderlords aren't even a thing. You know what happened? Nerfs, which made TLD the best, and only viable keystone if you were anything but a sustain support/tank jungler. Buffs happened again, and more are sceduled, thus TLD started to fall off. All keystones offer a specific bonus one way or another; free sustain from crits, HP stacking, a damaging nuke for your combo, a DoT for your spells etc etc. It was never about a class, it's just that everything got nerfed.
If you feel you're getting outpicked at champion select, perhaps you should start considering improving your game knowledge so you can pick/ban/strategize better. Ranked is for try-harding. If you want to have fun and pick something that's most likely to get you shafted, you can always play normals. If you pick something shit-tier in ranked where everyone tries their best, you're in for a bad time because you're literally handicapping yourself. Part of being good at the game, is being good at deciding what, where, and when to pick. The pick/ban phase is literally a part of being a good player. It's not about what makes you angsty. Counterpicking, priority picks, rotations, all the fucking shit you see done in very high elo. They don't do it because they are dumb. They do it because they are good at the game.
Perhaps you should improve yourself and fill what's lacking. Especially when you're arguing that a very important part of the game should not have any impact on how the match flows. What's next, remove the turrets because the game's not chess, but team-deathmatch? No mate, the game's revolved around objectives.
I've looked through your profile. You're in a nasty loss-streak. Your scores are bad even in victories. You don't ward even if you life was depended on it. Your builds are mostly bad, your CS is bad. Your rune pages are disgustingly laughable; I've never seen someting like that in my life. How do you expect to perform in games when your rune pages look like that.
If you're playing this game "for half a decade"(5 seasons would've suficed, you're not impressing anyone) you'll have earned yourself plenty of IP to make a set of runepages for your favorite champions. Also, playing the game for a long time doesn't mean you collect all the champions. It means you improve at the game. To do so, you don't need the entire roster, you just need to master a bunch of them and then improve. You can't play every single champion, you won't like every single champion, so not having them all is no big deal. Especially not big enough to bitch about it.
IF you're having problems with how the game flows, take it with the meta, with your elo, with your game-knowledge. I can't take you seriously when you're ranting like a tee. Nor when you have a runepage called "jangle ap tryndamere".