To confirm, Foxy doesn’t actually manage any reservations, but acts as the middle man for payments and sending data to other services. With webhooks, Zapier, and/or APIs you should be able to keep the data in sync.
Just depends on what you want to consider the main hub. But you’d probably want that to be Webflow since you’ll need to be able to hit against bookings to confirm what’s available on the front end for customers.
Hope this helps. Please don’t hesitate to reach out if you have further questions.