This is interesting to me, especially since I've reached more or less the same conclusion by myself (don't play any instrument nor draw, though).
But, I'm curious: how do you place your mouse on the desk?
To me, there's one big difference between the paper and the mouse: The former sits in front of you, while the latter sits to the side.
I find it uncomfortable to move the mouse too much to the side, even though I use a fairly compact keyboard (MS Sculpt).
I've spent some time a few months ago trying to optimise my mouse situation. In the end, I went with a "gaming" mouse [0] for the high resolution and (relatively) low weight so that I can move it around with just my fingers. However, I'm not a very heavy mouse user, so maybe this helps rest the fingers.
I've also tried a vertical mouse, but the issue with moving the arm too much to the side was present, too.
What also worked well for me is a thumb operated trackball (I use a Logitech MX Ergo).
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[0] For the curious it's a Logitech G703. It was the best compromise I've found looking for a wide and lightweight mouse. Wireless is a nice bonus, it was barely more expensive than the G403 which is otherwise identical.