Agree with Sunnyboy1956.
I'm the original author of the Magic Eraser as stylus cleaner concept. Using ME to clean vinyl is NOT recommended.
The primary reason is not the residue (which exists but could be removed). The primary reason is that melamine fiber is harder than vinyl and, as implemented in the ME, highly abrasive. Rubbing vinyl with an ME will scratch the vinyl.
This is easily demonstrated. Take any old LP that you don't care much about and rub the shiny, dead wax area with a piece of ME. If you use any force at all (i.e., enough to clean something), the damage will be clearly visible.
For clarity, the ME works by abrasion, not by leaving residue. That's just a by product. A material that was equally abrasive but left no residue would clean equally well.