I agree, after the acid bath, I am sure there is nothing left on it to decompose as it probably removed all the aerobic bacteria along with the surface layer of the rock itself. The an-aerobic sections of the rock may have or not have been affected, but I'd imagine that wouldn't create a "cycle" per say.
Like others said, i'd isolate it in another container with saltwater and maybe place a snail or some other inexpensive invert in there to test the safety if the rock. for a few days or so.
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