I'm sure they would have done, and even if they didn't, it sounds right to me for professionals to do so. Beyond a really low level - ie basic survival - you have the luxury to decide that one tool is better than another, and a sword is a fighting tool, so why not?
This sort of goes back to the point I made about basing it on a later period (perhaps without the gunpowder). As cities got bigger and the structure of society became more settled and complicated, there was room to discuss things that were increasingly sophisticated. If you've got printing presses, you've potentially got books and sheet music, which in turn could lead to standardisation as one work is able to be produced in more copies. If trade routes are opened and made useable, you could establish a regular industry producing weapons, clothes and so on. So by 1600, you're starting to see books about the martial arts being written down and codified, along with military tactics, legends/history, ways of making things and farming etc. Sure, many of those would have existed earlier, but the more structure a society has, the more chance you've got of there being several shops in a city producing a range of musical instruments and not just one guy banging on a drum.