Can Living Gloves combined with Remove Curse be used to gain access to multiple artisan tool skills?


Living Gloves (p278 ERftLW) Says:

While attuned to these gloves, you gain one of the following proficiencies (your choice when you attune to the gloves):

  • Sleight of Hand
  • Thieves’ tools
  • One kind of artisan’s tools of your choice
  • One kind of musical instrument of your choice

Symbiotic Nature. The gloves can’t be removed from you while you’re attuned to them, and you can’t voluntarily end your attunement to them. If you’re targeted by a spell that ends a curse, your attunement to the gloves ends, and they can be removed.

Can remove curse (p271 PHB) be used to end the curse, then you can put the gloves back on to attune once again and choose a different proficiency?