Nass33,
i can only answer your question for my zone from my experience.
you ask
If you start them too early, does it help/hurt fruit production?
my answer no not at all long as once buds start to break it does not experience cold enough temps to damage the new buds. that will set it back
you ask
Does it strain the tree to start too early?
not for me as mine are dormant in garage for parts of Oct, all of Nov, Dec, Jan ,Feb, and part of March so they have had plenty of rest period.
You ask
Any thoughts?
yes plenty , may everyone have good weather for great fig season and wonderful fig production this season.
I could put the members here to sleep like a dormant fig plant with all my thoughts on figs so i just give that short answer to "Any thoughts? " ; )
Best Health