The only difference I could find is that the bluetooth one is officially switch compatible and the other one isn't. I have the old wireless one with hall effect sticks and had no issues with it on pc, android or steamdeck.
I've bumped into this issue top and now I do the following: Solve them very slowly, make a few mistakes and correct them and switch to another tab for a few seconds before submitting.
Largest one I ever did was around 4.something TB. New off-site backup server at a friends place. Took me 4 months due to data limits and an upload speed that maxed out at 3MB/s.
The only difference I could find is that the bluetooth one is officially switch compatible and the other one isn't. I have the old wireless one with hall effect sticks and had no issues with it on pc, android or steamdeck.