I thought you messed up the sides but then realised driver side is not the same on every country

Fair point. Car wheels are a bit of a bad example. Probably shouldn't have included them, but I'll at least argue that means that 50% of wheels are clockwise and 50% are counter, so it negates itself.

Tighten = on/activated. You use a cap buy putting it on to seal the container. You out a screw in to join the wood. You do the thing it's meant to do in a clockwise fashion.

What's the purpose of a cap? To keep things in. The purpose of the spout itself is to let them in.

Clockwise wins.

I'm not sure why you're saying its clocks that are wrong rather than the other stuff. Currently we have x = r cos(𝜃) and y = r sin(𝜃), and that's what makes anti-clockwise rotations mathematically natural. But if we instead just used x = r sin(𝜃) and y = r cos(𝜃) then clockwise would be the natural positive rotation. And in that case, the unit circle would start at the top and go around clockwise... like we do for compass bearing (and clocks of course). So perhaps that would be better than changing what clocks do.

"the choice is arbitrary".

Except it's not as many other have pointed out. You're just confused and trying to spread your confusion to others. Yes, advanced math gets complex, that's advanced math. Don't drag trig into this when you're just confused.