Typically when drawing a 3D figure on paper (or a black/white board), a mathematician draws the z-axis to point due north on the page, the y-axis to point due east, and the x-axis to point due southwest (as if coming out of the page). And then the 3D objects are drawn on that; e.g., when a sphere is drawn on those axes, it looks head-on like a circle, without distortion, so that its cross-section in the yz-plane is a perfect circle.
In the answer https://tex.stackexchange.com/a/447401/13492 by @Max to my question Draw lower (southern) hemisphere and great semicircle with "mathematician's" axes orientation, he shows how to create a 3d set of axes that look like that, using a Cabinet projection.
However, when the Cabinet projection is applied to a sphere, it distorts the sphere's shape, as he shows.
Is there a way to create with TikZ a 3D drawing that does draw the axes as I've described, but does not distort solid object such as a sphere?