For plate-mounted Costar stabilizers, you can install and remove them right from the plate. I only have Cherry's PCB-mounted stabilizers so I don't know what Cherry's plate-mounted stabilizers look like.
Is it the same with Cherry's plate-mounted stabilizers?
Thanks.
EDIT:
Hum, I think I found my answer
here:

Looks like it is sandwiched between the plate and PCB, so you can't really remove Cherry's stabilizers without de-soldering every switch and separate the plate and the PCB first.