Sorry, you are incorrect about garters.
They are used to hold up hosiery, not just by women.
Long before American men wore stretch socks, a garter was used to cinch or secure the sock near the top to keep it from falling down.
I still own our cotton lisle dress socks that are size specific and have no elastic in them (binds circulation) that are held up by garters under my trousers.
Being both old and having grow up in the clothing business I know about these things.