the availability of a sword depends on what country you are talking about . generally the bigger the sword the more power it showed hence the story of William Wallace being huge and menacing came from the fact that he was said to have used a two handed sword . (never stopped us from mounting his head on a spike and putting it on tower bridge )
anyway back to the availability of swords . it all depends on the type of sword most soldiers would have a sword of some kind however the higher your rank (the richer youâre ) the better your sword , this was the case for the English anyway from the start of the hundred year war the English crown did something that was uncommon , the English were preparing to invade france however lacked men willing to go because of the fear of french knights and leaving their farms , so the crown basically said that any man who pledges to go will be provided with a weapon and a wage , be it a sword or a longbow or whatever else , generally the swords were low quality however from then on pretty much every Englishmen had access to a sword/longbow . (the game being set around this time ) this was slowly introduced in other nations as before most armies while given a uniform as such but were not provided armour or a weapon this you had to supply , so its perfectly logical with the timing of the game that the character would be given a low quality weapon .