Experimental archaeology requires a set of methods, fixed goals, a framed setting, hypothesis and other complicated words and general scientific cautionary protocols. So simply playing with sword-shaped objects while looking at strangely-dressed people in old books isn't proper experimental archaeology. It needs to be done with style, a purpose, and a sense of self-seriousness. Sometimes.
One might even say : the "reconstructive" part of HEMA, ie trying to make sense of what we think we have decyphered, is the "experimental" part.
Training for being good at using said principles and techniques isn't.
