If the lever is on your side of the pivot point, you'd have to invert both horizontal and vertical axes. I don't have any data, but I certainly don't know anyone who plays with both axes inverted (in first person games).

I sometimes do if the camera is far enough back that I feel like I'm controlling it as it zooms around the character's head. Maybe that makes it not first person, idk.

Usually its just Y-inverted for me though.

> as it zooms around the character's head.

This is a third-person camera. First-person is strictly seeing from the character's eyes.

looking left or right is a rotation not a pivot.

I said "pivot point", as in the center of rotation. All rotations have a pivot point.

https://en.m.wikipedia.org/wiki/Pivot_point

It feels especially right once the bucket contacts the ground. Pushing forward on the stick is then a bit like doing a push-up.

I was on a pretty steep hill also, so sometimes forward literally was down.