the dash black type stuff that makes mats go sticky only does so coz people (mostly rental car valeters) don't know what they're doing. if you just spray it on and leave it then they will go nasty.
the floor in my truck (same rubbery stuff) gets done with mr sheen or wd40. any dashboard or vinyl shine stuff will do it. once the mats have been washed (just soapy water) and dried, spray it on, then buff it off with a clean lint free cloth. nice black mats and no sticky