That would not appear to be the case according to this part of the unboxing video. My understanding of Chime Pro is that it uses a Bluetooth connection to work with Video Doorbell Pro. The Chime included with Duo Cam Doorbell is the new Wi-Fi Chime and actually gets a Wi-Fi connection to your home network (if you watch the whole unboxing video, you’ll see Kyle set it up as a separate device in the Wyze app), and that gives it some real versatility to work as a notification device with other Wyze cameras you might want to link it to.
It seems to be getting more stable/usable over time, too. I like having it enabled on a Cam OG that I keep in the garage, and I read recently on the Forum that someone’s seeing it on Cam v3s now.