A nittier point. In engineering, everything has a tolerance. In reality, nothing is truly 'flat', or truly 'level'--you show me something flat or level and I can show you a measuring device that can prove it isn't either. A non-flat surface may indeed be level, based on how it is specified. Level can be 'best fit' based off of a system of measurements, 'three-point', based off of designated points, or other different complex criteria.
Flat will also have specifications. Simply, flat may be +/-. More complicated, flat may be +/-, with a not-to-exceed in any given area.
For instance, I used to work on precision cnc machines that had plates with a flatness tolerance of 0.001", not to exceed 0.0005" in any 6", in a constrained condition. Takes some expensive equipment and good machinists to make. Also takes expensive inspection equipment to verify.
So, what is the criteria for a pool table? Simply that the balls roll true to some specification. For most people, it is enough to say that they visually roll true. Probably some standard somewhere. What does that mean in regards to actually calling out inspection dimensions? I don't know.