The gp will probably use forceps to grip the glass which is not ideal. With the implantable birth control you just make a small cut, reach in and grab with the ratcheting forceps, and yank it out. That won’t work with glass implants. It’s quite difficult to remove this way.
The best way I’ve seen is basically injecting saline into the cavity or pocket, inside the encapsulation collagen, and blowing it up like a little balloon, then applying pressure and the thing spits out the tiny hole made by the injection needle… kinda like how things stretch to give birth, the implant will make it’s own way out given enough pneumatic pressure behind it.