Yes, indeed, all too true! But then again, that's why we read and write fictional stories, yes?
Alexander movie: training scene with Connor Paolo
https://www.youtube.com/watch?v=jB_0cTpAZYU
Seriously, man, you really are trying to cause my demise, aren't you?! Because that clip assuredly makes me feel like I could die, albeit in the most sublimely wonderful way.... 
I do understand why you would predict such, but rest the assured that I am far more spontaneous and imaginative than that!Most likely HBB would suggest a change to the wardrobe, going back to the actual clothing provided to Greek boys during training.
As a matter of fact, I was thinking of some "costumery" reminiscent of the examples below, though who says there must be anything worn underneath, right? 
(NOTE: Click thumbnails Etsy item page with multiple full-size images!)
Full collection @ Etsy: https://www.etsy.com/people/mbrcayuct2h ... or-spartan
(Disclaimer: Much as I love the fourth image, I'm not personally the biggest fan of the gas-mask itself. Also, that specific costume might actually be better for an "enforcer" or "disciplinarian" type character; for example, who might "punish" the loser of any particular combat match! Uh-oh...
)