I'm guessing it wouldn't. A memory doesn't exist as a single entity, and a false memory is often corrupting a couple real parts of memories, either overwriting

I'm guessing it wouldn't. A memory doesn't exist as a single entity, and a false memory is often corrupting a couple real parts of memories, either overwriting (or outright adding) a small detail or mixing together real parts into something that didn't happen. If someone was given a false memory of a traumatic experience, they likely have still experienced something similar to the faked traumatic experience (maybe saw it in a movie) and will have an actual part of a memory to feed greater details as someone dug into the memory. A false memory of seeing a litter of puppies will still have plenty of real occurrences of seeing puppies to subconsciously draw upon.