By default Booking Calendar and Booking Manager plugins does not remove or update the bookings, if bookings was changed/canceled at other sources (Booking/Airbnb/Google Calendar).
In the update 8.6 of Booking Calendar or newer and latest update of Booking Manager plugins you can activate this option
"Trash all imported bookings before new import" at the Booking > Settings > Sync page.
Move all previously imported bookings to trash before new import bookings. Its can resolve issue of updating deleted and edited events in external sources. Its work only, if you are using one source (.ics feed) for importing into specific booking resource!