What is a 2D laser sign ?? In other words, what's your definition of that ??
A flat sign that has been laser engraved.
No, that is 3D
2D is left/right - top/bottom.
Your third dimension is when you have relief to the 2D image of either raised or lowered then the 2D face.
What size are these things gonna be ?? Finished size of blanks and copy.
The sizes range from 6" X 12" to 30" X 24". The copy varies from a single word to more than 30 words.
Anyway, plywood is a lousy choice for doing relief work for outside applications. Cedar, redwood, oak, mahogany and some other woods are better, but be careful as some are harder than other and won't look nice once you get through with it on a laser machine.
I was considering MDO vs having to glue cedar planks together. There is a considerable cost difference in material and labor.
I'm not sure I understand you're statement about hardwoods and the how they look after being laser engraved. It's true there are many variables to consider when laser engraving wood. The hardness and resin content being primary. Like sign making, if you know what you're doing you should be capable of producing quality output regardless.
Some woods will look almost like it was shredded along the edges. Generally the harder the wood, the more apparent this is. Anyway, there is a cost difference between plywood and cedar, because it's by far a much more inferior product and once you cut into the face of plywood, you're exposing layers of plies of wood. For plywood, that's a big No-No.
To do this correctly, anything over 11 inches will hafta be biscuited and glued up. Otherwise, they might warp on you, even at that size. The end grain will also determine what your outcome will be. So, take that into consideration, too.
As you said, quality is possible in any range, but time required to do this will vary tremendously.
Seriously, re-think using MDO. That is 100% the wrong choice.