Is there a toxicity or a problem? Otherwise don't do it unless just want to be lazy and not deal with fertilizer for 1 or 2 days.
The plant's biology depends on a concentration gradient across membranes and cell walls etc. Drastically changing the dynamics of osmotic pressure in the plant is not helpful despite what bruh-science believes.
If the plant is healthy, it's fine. "Flushing" in this context will do nothing to impact mineral content of the flower... absolutely nothing and that's a proven fact. Also, common sense because the plant has no biological processes that can do such a thing, lol. It wasn't even a smart hypothesis to start. When this so-called "technique" was tested, it fell on its face and shit itself badly. Only people susceptibly to placebo effect believe in it. it's "faith" and not supported by any evidence.