What you’re inquiring about isn’t an AWG table (“what size is a given AWG?”), but what’s called “ampacity”.
The reason you’re seeing many values is that ampacity is a subjective thing: how much temperature rise can you tolerate in your application? That’s subject to debate. Meanwhile, the temperature rise itself (which is the only limiting factor, ultimately) is not only a function of wire cross-section (which AWG is a proxy for), but of the insulation thickness and material, ambient temperature, the available cooling, and how many wires are bundled together, just to name some important factors.
So as to rule out unsafe opinions and back-of-the-envelope calculations, many disciplines and/or jurisdictions have established guidelines (or directives/laws/code) that specify what size wire to use in a particular situation.