Hide glue holds up very well against constant bending action. With one exception: When it is caked on thick!
I have been shooting the same sinew and hide glue backed bow for 12 years. It has been overdrawn hundreds of times and the backing is as good as it ever was. The belly has begun to succumb to more string follow just because the backing is a "no fail" sort of job. So yeah, I would say that the hide glue will not be the weak link in the chain....just long as you don't subscribe to the "a little is good, more must be better" mindset.