It is reasonable to expect a lid chart: a table of cup sizes against lid sizes, and the answer sitting in a cell. Packaging suppliers publish them, and they look authoritative.
The trouble is that a lid does not grip a capacity. It grips a rim. Two cups that both hold 16 oz can have been made on different tooling with different rims, and the same lid will seat properly on one and leak on the other. Nothing about the number of ounces tells you which.
That is why this site does not publish a compatibility table. Not because the information is secret, but because a table built from capacity figures would be wrong for some of the cups it described, and a buyer who trusted it would find out at the worst moment.
Matching lid compatibility is verified against your container before your final quote is confirmed.