How to remove and re-insert wires into socket?
After discussing With jack and looking at the photo again I realized that is a CFL with a separate ballast.  I was thinking disconnect not connection to the lamp in that case I would cut the wires off close to the ballast and splice. I have used wire nuts but with small solid wire and low current this is one place I use lever locks or push in stab splices have never had them fail in a fluorescent fixture and LED’s draw even less. I changed to lever locks as who knows some of these fixtures have been required 3X so far in their life with lever locks the connectors are a bit more but if another rewire is needed they will save time and money..