Jared, I'll assume that with HEMA you mean the European Martial Arts and not a specific group.
The answer is composed by many factors:
1) To many of us the application is primarily that of discovering aspects of our historical being that went lost.
2) A second application is having fun.
3) HEMA includes wrestling and pugilism (Lineacre School of defense this latter), one who knows German wrestling or English pugilism is a weapon by himself, expecially the pugilist.
4) I do not know how many applications can the longsword have now, sabre- backsword styles allow you use many kinds of one hand held weapon, sticks in particular (I know some say backsword fighting is an modern and inferior style, I just do not believe, and will try to prove the contrary <img src="/forum/images/icons/wink.gif" alt="" /> )
5) HEMA includes knife and dagger styles of many different periods, I assure you that traditional Italian (1800) knife and coat is simple and efficient, just as is renaissance dagger and cloak.
6) A messer player can use big knives well, they are terrific weapons...
7) Pole weapons fighters can make nice things with staffs.

One handed eye level pistol shooting is an HEMA, it does apply to olimpic competition or in a different form (istinctive shooting) to self defence. Fairbarn did not reinvent instinctive shooting he rediscovered it.
9) rifle, bow, crossbow, ....
Carlo