I was wondering if you could wash them or if they were no good after so much oil absorption.
Yes you can clean them, here's the instructions for the storm one which would work for the others.
Shammy Pad Cleaning Instructions
The Storm Shammy Pad needs cleaning after some use The proper procedure will make the pad last longer.
Remember the Shammy Pad is made of leather
1. Wet the pad with warm water.
2. Use a soft bristle brush and gently rub the pad using a
mild dish soap to exfoliate the surface of the pad.
3. Rinse the pad with warm water to remove the soap.
4. Ring the pad out and let it air dry before putting it
back in your bag.
One thing to note: Use a "Mild soap" dish soaps can remove the natural oil from the leather and shorten the life of it.