> 2D hyperbolic geometry (not possible to create in 3 dimensions, completely foreign to us)

Foreign to us, yes. It's perfectly possible to represent a hyperbolic paraboloid in three dimensions.

https://mathworld.wolfram.com/HyperbolicParaboloid.html

> so I don't think it is a 'display' issue at all.

...you just complained that moving around a sphere should count as non-Euclidean if it's displayed inconveniently, but not if it's displayed conveniently. But you don't think that's a display issue?