Not so sure. When I first started wearing glasses for astigmatism, it turned rectangles into trapezoids. Totally destroyed my depth perception. After a while I got used to it and stopped walking into curbs and buildings. Later in life I moved to progressive lenses. The straight lines then became curves. Adjusted after a while again, but the curves never fully went away. Regardless, I have to take the glasses off for sports that require good depth perception like ping pong or tennis.

Sometimes my depth perception goes off after getting a new pair of glasses with no prescription change, I always figured I had ended up with a different IOR poly-carbonate formulation in the lenses. But I have no idea if that can actually cause the effect.

I experience this too, and always thought it might be caused by a change in alignment of my eye and the “center” of the lens with new frames and lens shape.

Use contacts for astigmatism they need to be "fixed" to the eyeball to properly correct astigmatism.

Yeah. If you try hard enough, you can slightly break the correction and directly notice the curvature of the straight lines, especially long ones moving towards you, on the border of your visual field. The eye physically produces a heavily distorted picture, but the brain does a sort of continuous neural SLAM, what you perceive is the result of it.

What I said applies to any distortion. Astigmatism is just one example. Lenses that turn everything upside down is another. A few hours later, everything is normal.