What follows is may sound different than some of the other opinions given above. The truth is that cutting is a very complex matter. I drove up to Langley BC last week to Cal Saw Canada to do some research. I met with a scientist from Forintek. The whole purpose was to see how science works in the real world. The answer is that it is not a perfect fit.
Having said that I would assume that melamine would rapidly wear out a plywood bade which doesn't mean that others haven't seen the opposite happen.
There are roughly five reasons why saw blades wear out; abrasion, adhesion, diffusion, fatigue and tribological considerations. Tungsten carbide is tungsten carbide grains in a cobalt matrix like rocks in cement make concrete. In addition tungsten carbide can have different additives to handle different chemical conditions. It can also have additives to make really tough grains to prevent wear. Really big grains are generally tougher and really small grains generally give better wear.
The shape of the fibers in the material being cut can change performance results. A saw tip that cuts particleboard really well may not cut fiberboard (MDF) nearly as well. Materials that are glued cut differently than solid wood. It also depends on what glue is used. In addition to glue and particles of wood there is typically a filler and that can make a huge difference as to how long a blade stays sharp.
The edge of a saw tip in wood can reach 1100 F very briefly. How the material being cut handles that heat greatly affects the life of the saw tip. The amount of acid in the wood tends to leach out the cobalt binder that holds carbide together. Dry wood is tougher but greenwood is more corrosive.
Saw blades are made differently for good reason. The hook angle or how the tip enters the material can greatly affect the quality of the cut and the life of the blade.
There is a great deal more and there are still a lot more questions than answers. If anyone is really interested I can forward some papers.
Tom