I don't know. I'd doubt it because:
1. A severe overhaul of an already working jack-in procedure in order to make redpills equal to "intruders."
2. We've been told that "intruders" are freeborn.
3. We've been told that "intruders" come from a "higher iteration of the Matrix."
4. Halborn has referred to bluepills as "slaves" - if they were people that sought reinsertion, they'd probably think a little more highly of those in the Matrix.
My thoughts were always that those who went for reinsertion were either killed or overwritten. Mostly the former, I'd guess.