Yep, that works for me. And microfiber towels into a Swiffer “mop” head. Swiffer wants you to use their disposable covers. Instead get a big bundle of microfiber towels from Costco or Sam’s and reuse them over and over. Everyone needs a pile of microfiber towels around the house. And wash them by themselves, not with cotton towels or the like.
You are right, they do need to be washed by themselves.