No. There is almost nothing to gain from deleting it. Removing the markup will not lift your rankings, it will not bring back the rich result, and it strips out structured information that could still earn you a place in an AI-generated answer. If your FAQ markup honestly reflects the content on the page and follows Google's guidelines, leave it where it is.
The one thing to avoid is the opposite mistake: bolting FAQ sections onto pages purely to have some schema. Use it where a genuine question-and-answer format helps the reader. That has always been the right approach, and it still is.
This is not a new playbook, it is a reminder of an old one. Stop chasing individual search features, because they appear and disappear on Google's schedule, not yours. Build clear, well-structured content that both a person and a machine can read easily, and you are covered whichever direction search moves next. Right now that direction is AI, and structured data is one of the simplest ways to stay legible to it.