My anecdata based on “feedback” I’ve received over the years:
(1) Greasy and sugary things will go through fine.
(2) Proteins, like supplements, eggs, less cooked meats or cat food, tend to denature more and get stuck/baked to dishes to the point of needing a rewash.
(3) An exception is proteins in a fat emulsion (like mayo) where fat has a stronger influence on the properties of the residue.
This is after trying multiple tablets, even ones that promise pre-wash free dishes, in a pre-Energy Star dishwasher.