Choosing wedding rings, or otherwise in Greek “βέρες γάμου” is a matter of a romantic conception of a couple wearing the same pair of rings on their fingers in order to publicly show that those two people are together in life.
Choosing a pair of wedding rings also shows how many things these two people have in common and how much do they match. Not, that if they happen to have different tastes they do not match, but it is essential for two people wanting to wear the same wedding rings for the rest of their live.
All in all, wearing a symbol for an eternity that proves the love you bear for another person is the ultimate romance. Otherwise, what would it be?