. He recommends a lacquer method wherein the paint is applied simultaneously with a lacquer with a spray gun ...and then cured.

This is the way almost any cabinet finish is applied, be it lacquer, enamel, conversion varnish... whatever. "Cured" is sort of like "allowed to dry" except that it implies a chemical reaction is taking place rather than just the evaporation of solvents. You spray the finish on, and allow it to cure.

Lacquer is a good material for high-gloss finishes because it's easy to work with and can be sanded flat and polished to a high gloss. The problem with high-gloss finishes is that the crisp reflections you can see in glossy surfaces make surface defects very obvious. Outside of a carefully tuned, automated industrial finishing setup, it's very difficult to apply such finishes perfectly right out of the gun; this is why ease of sanding and polishing is important. Lacquer is not the most durable or water-resistant finish out there, but it's probably a good choice when you consider all the upsides and downsides.

Assuming your cabinets won't be made of sheet metal, the best material for this sort of thing is probably MDF. Beyond that, the best way to get the sort of finish you want is to hire a finisher who really knows what he's doing. This is not a job for a novice. You should also expect this finish to be relatively expensive.