Had to give you some creative thinking rep on this one! I like the idea of using a kitchen sponge as an air 'cleaner'!
Here are some geeky thoughts (I live in Minnesota - one of the 'M's in 3M, and know a lot of folks who work/have worked there). The scrubby part of the pad itself is a 'non-woven' fabric. They take some type of synthetic material in a liquid form, and squeeze it out through ketchup bottles in a squiggly mess, then fuse that mess into a pad. Depending upon what base material they use, how large the holes are in the ketchup bottle, how densely it is squiggled together, it might end up as floor mats, kitchen scrubbers, insulation for winter clothing, disposable respirators*, etc.
For the abrasive products (floor buffing pads, kitchen scrubbers, paint finishing, etc.) they bond abrasive materials to the fibers - probably some types of aluminum oxide or silicon carbide. Pretty fine stuff that you can's ordinarily see, but what makes the scratch pattern when used.
So, thinking out loud here, it raises the possibility of introducing those abrasive particles into your carb, jug, bearings, etc. In practice, they would still have to make it past the foam part of the sponge, but probably not something you would want to take a chance on.
I don't know if 'No-Scratch' ScotchBrite pads have abrasive bonded to them, or if they just use a milder abrasive.
Anyway, I recommend sticking with an oil resistant open cell foam material, or cutting up some other types of filters designed for this use. *Although, they do sell oil-resistant disposable respirators . . . .
Philbert