By coincidence I found an old Toshiba external USB drive in a drawer last week when I was rummaging for a cable, a black STORE.E one with the (now sticky and nasty) rubberised coating. I just powered it up: happily it still works so I guess no internal rubber bumper. Worst application of rubber so far was on some old Stanley screwdrivers, now unusable unless you want to apply solvent to your hands after use. I got those maybe 15+ years ago, put me off Stanley branded tools. Now I have a perfectly good beech handled Wera set which (sigh) Wera appear to have stopped making.

You should be able to remove the stickiness with lighter fluid.

This soft touch plastic is a plague of early 2000s cars too

having flashbacks to scrubbing what must have been several square meters of the stuff off of the interior surfaces of a mk4 volkswagen golf