I don't have a dry-erase (white board) marker to do a test, so wondering if it will erase just as well off of laminate as it would dry-erase film.
A dry erase maker becomes a permanent marker on all of the laminate and other vinyl that wasn't specifically dry erase I've ever tried it on.
Also, remember not to get your fingers on the reverse side. That stuff really telegraphs any dirt or even oil from your fingers.
Tip: Cleaning Dry Erase boards to almost their original state can usually be accomplished by starting with mineral spirits. Then remove the residual shadows with Ever-Clear (190 proof) or if you know someone who works at an ethanol plant (as I do) you may get some 200 proof which is about 1% shy of pure alcohol. I.D. Red fro ZEP, Carb Cleaner or Starting Fluid, too. Test on small areas.