Does anyone here have any experience pinching or cutting off the growing tips of the fig tree branches during the winter or early spring (as in the attached video)? The gentleman says it helps start the figs growing early. I'm assuming he is referring to the breba figs. I have only heard to pinch after the branch grows to 5 or 6 leaves.

He may be in a zone with a long summer where embryos appear for the third crop which in his experience are still viable after the winter (not the 2nd crop unripe leftovers). He thinks that removing the apical tip will help in faster growth of the embryos that appeared late in the previous year. In most of the Northeast the breba embryos appear in June and I don't think cutting the tips will help significantly in breba progress.
I do cut the tips in spring in some cases where I want branching out for the current year wood for the main crop.
Pinching in summer during active growth period for forcing embryos and fruit growth progress is intended to limit the number of active nodes to concentrate nutrients over fewer nodes (figs and leaves).

Think he is referring to pinching in spring,
Remove the tips to force new growth.

I am with Luke. This is U.K. fig expert Steven Read. So I would doubt he is in a long summer Zone!

I wouldn't pinch until all severe cold is past.  Branch dieback may be worse if you do.

PVC what he is explaining and states just past 8 minute mark is by pruning the tips off it will slow tree down some
and hasten the fig embryo's (breba) which are on previous seasons wood.