It really depends on which stylus brush.
The stiff brushes that allow the diamond to drop into the bristles like the Discwasher SC-1 or 2, just wipe on your jeans as stated. I believe these will die if subjected to alcohol
The long hair brushes as supplied by some cartridge manufacturers, seems a few different ways to clean em. I'd probably just do the tips in a mild dishwashing liquid and let dry. The alcohol, don't know if it has an effect on the glue.
The toothbrush style, again soap and water.
These latter two brushes do show the dirt which the stiff bristle brushes don't as the DW and the whatever brand now available are black bristles, not white.
I use the long-hair for general cleaning occasionally and the stiff bristles for daily cleaning. I need the diamond clean, don't care as much about the body.
I don't use those dipping goops, fancy chemical erasers and such. Kicking it old school.