There are many Gedolim including Rav Moshe (I think is one of them) who consider those people Tinik Shenoba
Some hold that way about those who were not taught to keep the Torah (I don’t think R’ Moshe was one of them, though). Someone who was taught to keep the Torah, but rejects it, is not generally considered tinok shenishbah by anyone, and I doubt anyone holds that way about shfichas domim.
So, zd, you pretty much avoided the question rather than answering it.