How come nobody slow pushes?

So I'm usually a Jungle main but I'm working on a sort of personal project of getting a huge array of champions up to Mastery 7 in every role, and right now I've been playing Naut, with one Rank 7 shard from top and one from Support, and I've noticed that a lot of people, like 90% of the Top Laners I play against and all the ADC players I play with, they all continuously auto attack the wave no matter what.

If you're winning the lane or you at least have more lane pressure than the opponent, the easiest trick in the book is to just put yourself right next to or in front of a minion that's about to die, and whack the opponent the moment they try to come up for CS. Do it enough times and with enough force and you can potentially zone them entirely off from the wave while you dip back every few seconds to grab your own CS. In this situation, you're inevitably going to push in due to the imbalance of you CSing and your opponent not, but that's okay, because if you focus on only last hitting minions and letting your minions die to enemy minions, your opponent doesn't get to CS at all. Meanwhile if you start shoving the wave now that you have the advantage, you forfeit your lane pressure and all of your minions that would've died to enemy minions are now shoving into the opponent's reach to CS.

And it's not just starving the hell out of your opponent. Once a cannon minion is in your side and you kill theirs, that lane is shoving forward all on its own, but if you slow pushed and only attacked minions to last hit, that's a monster wave of some 10+ minions and a cannon slamming into your opponent's tower. That's a billion and two opportunities right there. You can waltz right past your opponent and proxy farm, you can leave and deep ward enemy Jungle camps, you can kill Scuttle and set up for Rift or Dragon, you can gank mid because your jungler damn well isn't.

All of this is because you let the wave build up slowly, many of your minions dying to enemy minions and denying CS to the enemy laner, the rest of them buying time for you to do literally anything else. Compare this to auto shoving with constant auto attacks; you're going to kill the opponent's minions before those minions can kill yours, your wave is going to push forward much smaller than if you let it build up, and hell if you screw it up badly enough, which I have seen been done too many times, the opponent is just going to freeze your pitiful minion wave just before tower, free farm, and give you zero opportunities be it to abuse your minion advantage or to leave lane.

I just don't see the reason for constantly auto attacking the wave, especially if you're/we're already ahead. It gives up so much and you gain nothing that way and it annoys me to see it.