As to Peach Cobbler, I cant comment on if it truly need more cold stimulus to flower. I do know that the trees due need to have more maturity to them before the set fruit, approximately 4-5 years. At my old house, my tree set its first crop, albeit small, at four years of age. The following year it set a very nice crop.
It does seem to not be affected by MBBS.
**edited to correct the word "mate" to "more" in front of the word maturity**