User blog comment:FairyRaven/Fairy Tail Chapter 357: The Nine Demon Gates, Review and Commentary/@comment-16214733-20131025094546/@comment-7418318-20131025095142

It depends on the reason for the hunt.

If they target the former members because they are afraid of some kind of restricted knowledge that only the council had access too, probably.

If they hunt the former councilers to delay the formation of a new council, Tartaros won't bother with Ultear and Jellal, since they are still officially traitors and criminals on the wanted list and thus unlikely in the extreme to be part of a re-formed council.