Well I'm pretty sure it can be done - I polished my stainless steel link band a few years ago to a mirror shine (didn't do a perfect job but it was decent) and then went back to a brushed finish using the scouring pad from a dollar store kitchen sponge and later, a graphite eraser for touch-ups):
Polished (2019):
View attachment 2035418
Back to brushed (2022):
View attachment 2035419
I'll probably re-brush this watch when I get the battery serviced, though. Since the battery health is still at 100% (can't be accurate, lol!) it will likely be a while.