CLT is in no way similar to the product InventWood is working on, besides that it uses the same base material, and I guess requiring some pressing. You can think of CLT as being like plywood, but for beams instead of for sheets.

That said, CLT has 2 major advantages over regular wood:

1. It is more dimensionally stable, it expands/contracts less and in a more uniform way.

2. It is cheaper at larger dimensions. I.e. 0.5m x 0.5m x 20m wooden beams would take decades to grow and even then not realiably, but you can just manufacture CLT beams with those dimensions easily out of <10yr old trees.

Those two advantages are not limiting factors for the construction of cars or airplanes, so CLT is not super relevant to them.

Early cars and planes were made out of wood. So, I see no reason why not. The mosquitto which was one of the most successful planes in WW II was made out of plywood, which you could think of as an early form of CLT.

A lot of modern cars are made with a lot of composite materials that probably have better properties. But I imagine CLT could work well for things that are currently made out of steel or aluminium on such cars. I'm not sure if there's a big advantage to doing that in terms of strength, weight, or durability though. Aluminium might be lighter. And composite materials provide better strength and weight.

RIGA chair factory tour >> https://youtu.be/IndP2IKXTP0

Make CLT from thin enough boards and you got plywood

Aircraft grade plywood is still a thing. Often used for model aircraft, but you can make small planes from it.