What I mean by the title is if you take pig's home while they're dead, does that stop them from spawning? Or does having them die from a mob or you killing them change their spawn time? If you could also post the normal respawn time that would be nice too.
According to the wiki, when a pig is killed they will always respawn in their house. They respawn the morning immediately after their death. As far as I can tell, this is regardless of what killed them or whether you occupy their house.
Additional information can be found at the wiki page.