Hi Mf and Ironbark
The problem with no name brand is it may not be stainless and any tiny part of the steel wool that could get stuck between the tyre
and the rim will rust but if you wash the wheel thoroughly afterwards you shouldn't have that problem.
Good advice Ironbark for later model mag wheels but the one in the top pic looks like around 1987 Ford Laser so
not really any surface problems to worry about ,looking at the wheel there is no protective coating to scrub off.
Cheers
Max.