And how precise traditional craftsmen are willing to be depends a lot on the local culture. Imperial Roman work is not 15th century European work is not late 19th century European work, each culture has different ideas of what details matter and what can be let slide (we use this to spot replicas being passed off as originals).
One reason you see a lot of soft iron tools before the 20th century is that a smith has more hours of working iron than working steel in him before his joints start to fail and he has to switch to a supervisory role. A lot of people were willing to accept the not-so-sharp axe for a price discount, especially because everyone knew how to hone a blade but buying an axe required cash.
Edit: I now looked at the first 30 seconds of both videos without sound. Those look roughly 'zip gun level' tech (I like the old percussion lock on the poacher's rifle) and much less advanced than the gunsmiths in South and Southeast Asia ... but those gunsmiths have a supply of cheap cast homogeneous steel and a supply of cased ammo with smokeless powder. If they had to work with heterogeneous steel and iron from
one of the pre-1856 processes and propel it with soft-cased ammo, they might make less Kalashnikovs, Brownings, and Mosin-Nagants and more primitive weapons.
Edit: Oh wow, and the first video has one where they make the ammo themselves. Also, I agree its good to remember that a lot of these village shops are turning out single-shot weapons, not semi-automatics (or turn out several single-shot Kalashnikov-shaped objects for every Browning Mle 1910 knockoff)