Stabilized wood would be much to hard for a cutting board so I doubt strongly if anyone would use it. Then there would be the problem of cost and finding a food safe glue that would stick to the stabilized wood.
Any board that uses any kind of resins has the chance of some of those chips flaking off into your food. If they are food safe or not is not something I can speak with authority about.
On the other hand, there are some cutting board makers who use a resin hardener on their cutting surfaces to keep the grain from raising up when washing.
"a unique blend of wood fibers, layered together and pressed with a food-safe resin to form a sheet". Just another way of saying it is a water-proof MDF, wood powder pressed together with resins.