It's annoying, but I wouldn't consider it a bug.

Fusion adds its background items each time you start it and uses macOS Launch Services to start them up. Fusion also removes them when you finish with Fusion. That's so they won't get launched and consume resources when you don't need them.  It's done that for a couple of releases now, so it's not new behavior.

What is new is how Ventura reacts. Ventura changed behavior over prior versions of macOS. It now alerts you to the fact that something's being added as a background launch item. It's good for security for Ventura to let you know about this.  But now Fusion's behavior gets to be a bit annoying.

That being said, I hope that VMware can come up with a way to stop the annoyance.