Pretty sure that is what you want. If I remember correctly the white ones are the least abrasive ones they make. I have never seen any recycled Scotch-Brite products, nice to know they have that option and am assuming it is the same product except made from recycled material. I am kind surprised, though, that the packaging doesn't indicate the "grit" of the pad unless it is on the back. The higher the number the less abrasive.
If you are getting this to clean up the 73 bass you could also consider using the Mr Clean Magic Eraser. Non-abrasive dry way to clean dirt and grime. I originally bought it to (carefully) clean the stylus on my turntable and it worked well for that. I don't think whatever cleaning agent they use would affect the oil finish, the product itself feels dry to the touch. Murphey's Oil Soap may also work well since it is made for cleaning wood and replenishes some of the oils in the wood without leaving residue. To be on the safe side I would try any product on the body before the neck, even the Scotch-Brite pad.