It feels like "agile" is such an overloaded word these days. In most settings it just means a specific workflow centered around Scrum or to a lesser extent Kanban. The only true difference from old school waterfall and month long specs is shorter iteration cycles. A "sprint" or "iteration" is still treated as a rigid block of work.

On the other hand if you have a look at the original Agile Manifesto[0] it is a different beast all together. It specifically seems to go against using set processes altogether and basically boils down to nurture organic communication, to adapt and focus on getting shit done.

I suppose the "agile" in the former sense is a compromise to edge closer to the latter, while still maintaining a familiar corporate structure.

EDIT: [0] https://agilemanifesto.org/