I like the IPA.
Again, like anything it so depends on different variables. ME or magic eraser will pull lint/fluff/dust off a stylus. It will not remove the crud from a stylus after playing a dirty record. The heat generated at the contact points will "bake" crud on the diamond that ME will not remove. A brush combined with a solvent must be used.
In my experience, a diluted solution of isopropyl alcohol is the best solvent. The strength of the solution depends on if it's a bonded or nude diamond. A bonded diamond is "glued" to the stylus and strong solvents can dissolve this bond. I'd use 20% IPA with 80% distilled water on these guys.
Nudes are fine with 80% IPA in my experience. I give my stylii a clean with brush and IPA under 20x viewing every 20 hrs. Always brush outwards. Dry stylus brush before each side.
Whether you adopt this method or not, IPA is a versatile cleaning fluid for all things electronic and I'd recommend buying it in bulk (I buy in 5L amounts). It can be used as the main ingrediant in your record cleaning solution and is useful in cleaning CDs, TV screens and the like. It dries without leaving a residue, hence it's usefulness in our relm.