As long as "generously" isn't too generous.
There's no need to soak the rag in solvent. just dampening it is enough to dissolve and wipe off the surfaces. Of you use too much you risk the solvent migrating between the plates, and working it's way in.
That isn't as bad as you might imagine, as long as you don't go nuts, and are using a solvent like naphtha or petroleum based OMS (not the so-called "green" analog) which evaporate dry.
Once you're done wiping the plates, put the bike in a warm ventilated place, and the solvent will evaporate leaving the oil where it was.
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