IME, the answer to the OP's Q is "Well, it depends".
An awful lot depends on A) the material used, and B) the number of plies.
By that I mean that if a really soft wood is used, and there are only 3 or 5 plies, then I doubt if it was really flat even within 5 minutes of leaving the mill (exaggeration for illustration effect).
OTOH, if the ply is made of a hard wood and has at least, say, 7 or 9 plies, it's likely to stay flat throughout its life provided you store it sensibly (without any obvious possibilities for it to warp).
For example, the desk tops in my office are all 11 plies, some sort of hardwood (don't know what, can't really see it, covered both sides with some sort of "Formica") and are 19 mm thick. That stuff isn't going anywhere, and the design is such that it isn't really "held" by the structure.
Agree with a poster above, it sounds like the OP has bought shuttering ply or something and that is unlikely to be flat or stay flat. How many plies does it have?
I can understand buying cheap if it's "only" for cupboards, etc, in the workshop, but IMO, multi strand board ("OSB") would have been a better buy (pretty ugly but can be painted up OK).