i dont think it would work like that

its not like the bodys various subsystems maintain awareness of how and why they interoperate

your body isnt really aware of its amputated parts regardless of whether or not theyve come out naturally - thats why they dont grow back

complete regeneration would mean that wolverines body must have some kind of schema keeping track of what body parts he SHOULD have - and a fairly generic schema since he aged beyond being a pubescent teen

if its something inherent and biological then it wouldnt matter if he had been circumcized - but the schema developed after infancy then circumcision might have stuck