Yes, “agile” is an umbrella term, the word was chosen by the signatories of the agile manifesto. Who-ever would be referring to the agile method, doesn’t understand what agile refers to.
The existence of many agile methods, frameworks and approaches (no, Scrum is not the only agile method) for single teams and multiple teams illustrates the continuous journey of exploring and uncovering new and better ways of developing products. And that’s a good thing, isn’t it? It would be worrying if the whole world would agree for a single method or way of working.
Illustrations as the one below show the diversity of methods in the whole “agile” landscape.
Some thoughts…