With respect, in my opinion it is incorrect to characterize nail removal as a minor surgery. Many patients try to remove the nails; many don't.
It is not uncommon to remove the screws that hold/held the nails in place because these screws often protrude under the skin and can make some activities uncomfortable--even crossing one's legs can be uncomfortable if one leg rests on top of a screw in the other leg.
Once the bone heals, the nails are completely encased in bone. They can stay that way for life.
Right or wrong, some people believe the nails cause pain or other sensations and want to remove the nails. Doing so is a significant surgery because the nails may not simply slide out. The surgeon must open the fully healed bone, get hold of the nail, and coax it out. None of this process is easy. The process presents real risk of damaging the bone. Even if you decide to attempt removal; some surgeries must be abandoned because the surgeon discovers the nail cannot be removed without unreasonable risk.
For now, I do not intend to remove my nails. Before I would consider removing my nails, I would want to be very sure they are actually causing a significant problem and would want some assurances that the nails were good candidates for successful removal.
Occasional phantom pain that cannot be definitively attributed to a nail would not be enough to convince me to undertake the very real risks associated with removal.