Now, I generally don't go in for swords and stuff, I like to leave that to the leotard wearing reniesaunce (spelling?) faire types. I try to leave them alone and not shit up thier threads.
However, a few points to consider-
Metal technology is much better today than it was 600 years ago, particularly in the different types of steel alloys available. You can make a sword today, every bit as quality as an antique British blade, for 3/4ths the weight or less. It will retain the edge longer, be more flexible, and better resist corrosion.
Like firefighters today, many mideval soldiers didn't put a razor edge on their weapons. The thin edge would flake, break, and dull very quickly. So, a wider edge, more like a skinny wedge, would allow the weapon to have a more consistent edge, and keep that edge longer. All the while increasing the service life of the weapon by not having to sharpen it as often.
"You can never have too many guns, yo-yos, or crayons"- Mrs. Hotlead speaking to my Nephew Easter morning.
"Yeah, your 9mm "might" expand when it hits the target, but my .45 sure as hell won't shrink."- Me argueing with my Brother about pistol calibers.
BANG, BANG, BANG, BANG, BANG, BANG, BANG, BANG-Pinnnnggg,......clank....clank
BANG....yeah baby, one shot, one ki..........dang it................BANG