About 20yrs ago the stadium in Denver Colorado, where the Denver Broncos play was known as Mile High Stadium. There was initially uproar when the naming rights were changed to "Invesco field". A compromise was made in naming it "Invesco field at Mile High". It has since been changed a few times, always with "at Mile High" in the title.
Should we go for "Thatchers Stadium at Ashton Gate" or something similar and it helps with FFP then I'm all for it. As others have already said, to us it will always be going down "The Gate"