Well, I suspect it still has some kind of rubberized edging along the bottom to help with slippage, but, as another poster noted, it could just be flipped over. However, if that were the case I'd expect a lot of blood lining the edges, soaked through the slats, smeared on the top. I don't think the mat pictured above was used in such a manner; whether there may have been another, I can't say.
That all said, I remember HLN (?) conducting an experiment during the guilt phase where they brought in a dummy equal in size weight to Travis, and had a female staffer equal to Jodi's stature try dragging it along the same path and into a cubicle shower stall. She was able to do it, noting that it did take some exertion along the way, but it was also mentioned that Arias would have had the benefit of adrenaline backing her efforts. There was no blood or water on the floor to assist with the sliding in the experiment either.