My installation has both (and no I didn’t specifically install pulseaudio in dom0, it was just there) and they constantly conflicted with each other. There’s a thread out there advising people on how to shut off pipewire so their audio will work.
[edit that Unman won’t see: If we’re really supposed to be getting rid of pulseaudio rather than pipewire, then what should I install in a minimal template to get pipewire working?]