Wringing the (Scotch Brite pads, aka sponge, white-coloured thingy) will result...

in damaged Scotch Brite pads. An example would be as shown in the figure (pad on left is flimsy compared to the right one)...
In order to dry them, please don't wring them dry. Just "fan" them dry (like fanning, but more rigorous). The centripetal force will remove most of the water.