The vintage wheels have four stud or six stud fitting. Six studs certainly on the early 20's cars with the 4-cylinder engines, whilst later 4-cylinders (at least some) seemed to have four studs as standard. I believe all the 6-cylinder models had four wheel-studs standard, even the earliest cars, though I may be wrong. Additionally, the tyre size varies (= wheel) with the early and later vintage cars; early cars having narrower tyres. Therefore, the wheels I cannot see being simply interchangeable.
I haven't seen any 'new' wheels, but original wheels do come up occasionally (bought-in by AC at the time, they were maybe fitted to other marques). An ACOC member recently advertised some vintage disc wheels for sale which were guaranteed to be 'true'. Also, I know of two wheels (4-stud) that are stashed in a garage, or were two months back, and would be open to offer if these may interest you - they need blasting and checking, though I can recommend a company for this work if need be. Personally, I haven't seen any six-stud wheels for sale for some years.
Wire wheels also were different on AC models, late 20's. Some having a false 'hub', maybe to disguise the actual brake drum size. I know that Rubery were one of the manufacturers, Rudge-Whitworth another. If you are considering switching to wire wheels, I think you would have to be most careful they do indeed fit, as differences in production-year may even involve you changing the hubs.