Thanks guys!
I bought the laser for my wife's glass work and figured it'd be making router pattern bit templates for me. Little did I know it would be useful in other ways!.

LBD, you work like I do, anything that gets me the spacing or flatness I need is fair game to put under the laser.
I see no burn marks on your measuring devices so I rank you an eggspurt on thinking ahead!

I can now see an advantage for the laser tape. I also will tape the perimeter of veneer or with a burly burl veneer, smash it flat between two glass plates before cutting. That tape, applied over a feisty/delicate veneer could do wonders with taming it and hopefully be removable without damages.