Could you give sources from before the 16th century? The only types of laws I have read in the 14th century are ones requiring free men to have arms for the militia and bring them to practices or musters, and ones restricting the carrying of arms within city limits or near parliament. That supports what we see in the art and the 14th century English coroner’s reports where a typical killing is a stabbing with a knife or a bludgeoning: working people who want to look tough in 14th century art or poetry wear a dagger, knife, or basilard. Sydney Anglo made some noises about how this might not be the whole story in Martial Arts of Renaissance Europe, but he did not have much evidence to cite.
As I said in the other thread, there is a big difference between having arms and carrying arms, because the social implications are very different.