Have you heard of Stacy Westfall? Is so, Her horse Roxy (roxy died a few months ago though) was trained to bow while Stacy got up on her. She was a quarter horse also, but it still worked.
I would say, it is safe as long as you are not constantly doing it (like 4-5 times a day) but if you did it like 2 times a day, or less, it should be okay.
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