oh and to answer…got a decent 4″ (not sure on the make) fan in the flat after messing around with crappy ones for years. It is always on at a low level but perks up when the light is on and stays fast for a duration afterwards.
Been 3 years since I re-did the bathroom and had a couple living there and not a spot of mould in a basement flat bathroom with no windows.
If I was doing it again I would probably go with a centrifugal type as they look less messy due to dust uptake and should be a bit higher performance. Bulky though.
You can also get inline fans to place in the duct if you have access and want a neater finish with less noise directly in the room.