Sadley, they’ll occupy facilities which were built by the contributions of past parishioners who by and large would want nothing to do with what is going on. I have relatives buried behind a NH Congregation church in large numbers who I’m sure would get up and leave if they could. I hope the Pope makes available unused RC facilities worldwide to accomodate traditionalist Anglicans who come into the Roman fold.
The case of the UK is interesting, though, as many of the great Anglican edifices started life as Catholic structures prior to being appropriated by Henry VIII (as well as Elizabeth I and James). Should they be returned?
The question is what to do with unused churches? The ECUSA and the RC have so many empty churches and the CofE does as well, but will they allow the orthodox to use them? I think not.