Inductors like that are pretty common, though I'd be surprised if that one being physically broken is what killed the driver. It's hard to break something like that while it's still inside the light.
The light was previously opened before I got in there. One leg of that part was already broken off when i got in.
The pill is very shallow. It is 16mm tall but inside dimension I would say somewhere around 10-12mm. There is a 20mm hole that the wires ran through to a contact board which then makes contact with the switch.
I suppose the whole thing could be changed. I only paid $20 for the whole light.