It appears you are asking two questions simultaneously: Do all stocks cause accuracy problems; and do laminated stocks cause accuracy problems that you won't get from other wood stocks?
All wood changes shape (aka warps) in the real world. What I call warpage is a dynamic state -- that is, wood moves a little bit all the time. Unless the movement is gross, nobody cares. When the wood has been quarter sawn from straight grain blank, problem has been manageable for several hundred years, by relieving places on the stock where movement affects accuracy, and by sealing the wood from moisture entry.
Laminated stocks have two potential problems: dissimilar laminations warp too differently; and adhesive fails, and stock delaminates.
A stock blank, brand name AcraBond, offers a laminated stock blank with lamination pattern that is supposed to self-compensate for warpage direction. I have no first-hand knowledge of the wood. I suspect its secondary feature -- having very thick outer laminations -- is more important. This allows the finished laminated stock to closely resemble a high-quality non-laminated one.