I strongly advise against throwing rolls of toilet paper into the bilge!
Think about it. You chuck a couple of rolls into the bilge and leave them there for a day or two. They do the job nicely and you are happy. OK. No problems. But.....
But if, let us say 12 hours after chucking them into the bilge, something goes wrong and for one reason or another you get water ingress. You start the bilge pump happy in the knowledge that you have a good pump and have been wise enough to fit a strainer (strum box I believe is the technical term). Your pump sucks from the first stroke and, looking over the side, you see the steady flow of bilge water pouring from the discharge line. You are confident that you will be able to cope with the flow of water until you find out where the water is coming from and can fix the problem. Suddenly the discharge stops. A few more trickles of water come and then you hear the unmistakable sound of the pump running dry.
At this stage you are a worried person, secure in the knowledge that the toilet paper is now a mush in the strum box or, even worse, (if you don't have a strum box) up the suction line and in the pump itself. Ah, the hand pump! You fit the lever into the Whale type pump you were certain you would never need but bought and fitted for safety's sake. Pumping like fury the water starts flowing again. But then sod's law kicks in. We all know how reliable these pumps are, provided you change the membrane before it perishes, so what has gone wrong? Why is my back-up pump not backing me up?
The problem with the Whale Gusher pumps and others of similar construction are the two little rubber flapper valves. They are simplicity themselves and, normally, I am an advocate of simplicity, but this can also be their downfall. A match, a sliver of wood or any other obsitcle fastening in either valve renders the pump useless until it is cleared. This is not a difficult task but when you need the pump you don't want to be taking it appart to unclog bits of toilet paper from it.
My advice is to forget the loo paper alltogether. Generally, rags are not sufficiently absorbent but if you find those that will wick up oil remember that if they are then placed in a poorly ventilated space, and a plastic bag I would describe as poorly ventilated, they can combust spontaneously. No, my advice is to bight into the sour apple and put you hand in your pocket and buy oil absorbant materials.
Aye // Stephen