Generally isn't "stuff", it's damage to the glass. So no you can't soak it off, you have to put a bottle through a tumbler to get the glass clear again. Or I think people use some sort of oil sometimes to hide it, I'm not sure which. Unless you have actual minterals encrusted on the bottle in which case it shouldn't be too hard to scrape off.
New here, but to add to cleaning hints. Two things....white vinehar soak. About an hour?? Then, second, small brushes for dryer cleaning. They have wire bases and longer necks, and short stiff bristles.
Dime a dozen but one is a pinkish bottle dang alot on eBay says some woman's name looks Paris like dang most aren't cologns or aftershaves not to many worth anything to many around mennen ive tossed...