Yes, the wet swifter pads and spray tanks have a fairly strong odor.
But if she has the cheap one that doesn't have the tank on the back and the spray trigger, you can pinch wet or dry pads onto it. And you could wet the dry pads a little, and spray any cleanser you like as you go. It's not ideal, but it's worked pretty well with bleach for me before, so it should stand up to your natural cleansers. I just wouldn't use anything that has too much residue or too many suds.

I hope that helps