Agile is properly a meta-methodology, a methodology for helping you build the proper methodology for your team. If you're not trying things out every so often, keeping what works, and discarding what doesn't (even if it's officially part of some named methodology!), you're not doing Agile Manifesto-Agile.

Mistaking a meta-methodology for a methodology is a major category error. It pretty much guarantees failure.

I'm at least reasonably agile. Looking back over the last five years, someone who thinks Agile is a methodology would think I'm very inconsistent and all over the map, because my methodologies keep changing. But that's because my needs, responsibilities, task types, and indeed even customer type have shifted over that time. What would be weird is if I did the exact same thing the whole time, because "Agile".