Maybe buy a second mat just for this purpose?
I would be leery of the spray touching the wood table surface...especially for long periods of time, and yes, it would adhere it to the table. I wonder if the accelerants would eat the finish?
I sprayed some of the Sullivans inside a plastic container and it remained sticky for months LOL it wouldn't wash off, it took a good 6 months to dissapate.
Maybe spray a bit on the back of the board and try washing it off? then decide whether you want to go this route or not :D:D:D