Vegetarian in a Star Trek Universe: Okay to eat replicated beef?

So, you’re a vegetarian living on the Enterprise. Since the food replicators work by assembling molecules of any old thing laying around in the molecule pool would it be ethically all right to eat animal products?

For that matter, if we assume a Drexler/Feynman idea of a nanobot is possible and then toss a steak into a vat to have it disassembled and then mapped so that the nanobots can put it together exactly the same way it was before, but with different molecules, would that be okay?