You must be from the northern hemisphere. Globes seem to be mounted upside down usually, Antarctica belongs on top.
Look at https://www.amazon.com/dp/B085K2ZPWB/ .
You're still free to spin the earth backwards, though.
If you try to do milky way astrophotography in the northern hemisphere you quickly find out you are limited to the late spring / early summer, because you want to be seeing the southern sky at night. Most of the year the sun is too close to Sagittarius during daylight hours, making viewing impossible.
I think you are right though; "up" and "down" are defined by applying the right-hand rule to the orbits of the planets around the sun, not their rotation about their own axes. this is why we consider venus to spin "backwards" as opposed to being "upside down". this does lead to an odd conundrum in the case of uranus, whose axial tilt is almost a right angle. which of uranus's poles is north?
This may not be true - if magnetic monopoles exist, choice of handedness becomes linked to choice of magnetic sign convention.
Scaling something evenly is not distortion, nor is placing it upside down, or otherwise changing its orientation.
There is no sense or perspective in which the orientation of a globe can be said to distort the shape of its features.
Not sure how much they've retained, but when they were younger, my kids could pinpoint every country on the globe, and knew the capital of every country.
Edit: The model we had was much less sophisticated than that currently available (no screen or videos). It had, for example, fun speed games where it would name countries and you had to find them on the globe and tap them with the stylus, competing for who could find the most countries in a set time.
They really should reintroduce the old model, just with updated political geography.
Once we reached middle and high school, most classes didn't have maps. If I were building a modern school, I might not put physical maps in any classroom equipped with modern projection tools and smart boards.