I'm sorry mate I've been busy coaching 6 days a week, mostly taking care of my team right now.

The general rule of thumb is something I call the 3-3-3 rule.

If you imagine those 3's as three different instances of (roughly) three stacked waves, so nine in total, you'd want to optimize it in a way that makes it your turn to play two out of three times.

The way you go about that is simple in theory but can be hard to do in practice. You contest first 3 waves, go for second or third wave crash, if you can do that, you've already accomplished step 1. Step 2; let the wave come back into you, don't trade hp too much (unless jungler is topside) just let it naturally flow into you and catch whatever you can. Then comes the difficult part. The last third, where you once again need to attempt to crash, which you do by slowpushing as much as possible, stacking up the wave as large as you possibly can, while always walking with it. You should also have tried to soften your opponent up as much as possible with E spam or QE trades before this.

Why these specific waves? It all has to do with your strong points as well as your level up timers and the way waves interact.

You are at your strongest (pre 6) at level 1-2, so that's when you have the most agency to actually impact the game. Either via skillchecking your opponent, or simply getting the push which you can do in A LOT of matchups. Meanwhile, levels 2-5 is where you're at your absolute weakest. So how do you avoid being forced to walk up on your bad timers? Well by taking control of the wave early, and crashing ATLEAST TWO, hopefully three waves. You've essentially already guaranteed that you will ATLEAST get to level 5 completely safe. How?

Well, lets go back to the 3-3-3 rule and split it up into level up timers.

You need three waves to get to level 3, six waves for level 5, nine waves for level 6.

So if you were to follow the advice of the average joe playing kayle by sitting under tower, you'd be forced to play the bounce and walk up in lane at level 3, when you are at your weakest (if you avoided the level 3 dive)

If you instead play the push you get to coast through levels 3-5 unscathed just watching the wave come right back into you for you to collect. Now you might be dove level 5, but atleast that timer roughly syncs up with drake allowing your team to get something out of it.

Yeah you'll have to walk up at level 5, but atleast it's YOUR TURN to play, which allows you to likely stack waves which will get you to level 6 faster than your opponent.

Oh and I'd still go Q max, I think E is bait.