I've been using LAST stylus cleaner for decades and found it completely reliable. I use LAST's stylus brushes with three swipes from the bottle's applicator perpendicular to the direction of the brush from the stylus back to front at the beginning of every record.
Styluses are mounted differently. Some are glued to a metal shank that is attached to the cantilever. Others are oriented by the shape of the nude diamond shank through the cantilever and crimped with a small drop of epoxy on top of the cantilever to hold it in place. The one's that use unconventional rods or tubes made of beryllium, diamond or boron, the nude diamond shank is oriented and attached to the end of the rod with a fairly large glob of epoxy. These are the ones you have to be especially careful that your stylus cleaner isn't aggressive to the adhesive and cause it to fail. I wouldn't doubt that a stylus mounted this way isn't going to fall of eventually anyway.

