As you say, if it has pads, the dirt and grime would mostly accumulate in the bottom of the reservoir of water afterwards, not remain on the pads.
l have casually observed some really bad practices in some record shops where the owners have cleaned many records, using a spray and cloth, or tea towel. To the uneducated this may look fine, but unless a clean cloth, or towel is used each time, if someone wants to attempt to clean like this, records are only just being cross-contaminated.

