I don't see any need or reason to transplant autos. Regular photos, sure!
The time is ticking when an auto sprouts. No matter how you look at it, transplanting will waste in time of the progress of your root system.
A fine example:
Most people transplant around 14 days. At the 14 day mark(probally a few days earlier with a very good start), I can easily turn on the rez of an EarthBox Jr. A transplant would take another 4 or 5 day before it could be done. It's important to get the plant 'on da rez' as soon as possible. An EB Jr girl will race ahead of A Regular EB and the Reg will eventually pass the Jr in size because of the bigger bank. The Jr girl gets on the rez much sooner.and finishes sooner.
The above is just my theory!