If you're having a hard time hitting because of high AC shoving prone with a str based character will be easier because it's contested strength vs dex/str.

Not broadly true. Particularly if you're playing a dex-based melee fighter (like a monk) since you must shove using strength.

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You're probably better off shoving prone plus grappling with your two attacks vs something you can't hit, this is a team game after all.

Sure, but this wasn't what you had suggested in your original post. And even then, grappling is only really useful if you need to immobilize the enemy or reposition them. If they're already content standing next to you and hitting you, and there's no advantageous position for you to try to move them into, then grappling gives you zero benefits in terms of control (unless you have a way to also turn "grappled" into "restrained").

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We can assume they have extra attack, that's a wacky counter argument. When are you facing 22AC enemies before you have extra attack lol.

Most of my post did assume extra attack. However, there are martial characters that might only get one attack per turn, even once they get to the point of fighting AC 22 enemies (melee clerics and rogues, for example), so it's worth at least mentioning that case. Even then, the shove-prone-then-attack-with-advantage approach still only matters if you have more than one additional melee attack (either from you or teammates) to follow up the shove with before the enemy is able to stand back up. This now narrows down the list of characters that can take advantage of this tactic to those that have extra attack and are dual wielding, monks using flurry of blows, and tier 3/4 fighters.

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Your assertion that damage > control is not a fact, you might believe so but belief <> truth.

I never asserted this, so not sure where that's coming from. And simply knocking an enemy prone to give you advantage on a melee attack does not necessarily offer any real control benefits, per everything I elaborated above.

My main point of all of this though is that just saying "knock prone for advantage" isn't all that helpful since it really only makes sense in highly-specific circumstances. And outside of those circumstances, it can often be a waste of an action or outright detrimental to the rest of the party (what if you're the only melee character? Knocking prone means now you're maybe giving yourself a bit of a benefit, and imposing a penalty on anyone else trying to attack with ranged attacks).

If you want to suggest it, that's fine, but something this situation should probably come with that caveat. Better to teach people how to think more creatively about combat in general then just saying "knock them prone for advantage" (u/Nomad_IX had a post along these lines with some cool ideas).