I don't think anyone would notice, especially on a "bumpy" globe. It might be less than manufacturing tolerances.
It would be for those of us who like to apply a fairly big caliper to our globes...
On a 30cm globe, the Everest would peak ~200µm above the globe's average surface (though it would possibly/probably be too small to even represent), the tibetan plateau would be ~100µm above the average surface. It seems detectable[0] but would require a pretty ridiculously smooth globe, I don't think a plastic-and-paper globe would work.
[0] https://www.sciencedaily.com/releases/2013/09/130916110853.h...
> The smallest pattern that could be distinguished from the non-patterned surface had grooves with a wavelength of 760 nanometres and an amplitude of only 13 nanometres.
Would just be a cool niche to have scientifically more accurate globes.
Stack Exchange about the earth's compression:
http://earthscience.stackexchange.com/questions/108/why-is-e...
Scientific American article about the earth's true shape:
http://www.scientificamerican.com/article/earth-is-not-round...