There are two different versions of the hat "Where in the World?", which, according to the list of hat-triggers, is awarded
[f]or participating on a site, when it's December 21 (the December solstice) anywhere in the World. (This hat comes in two forms, but you can only get one.)
What would've happened if on December 21, I had had two accounts, say one on Stack Overflow and one on Super User, using different usernames and e-mail addresses, and had gotten different versions of the hat on each, and then had requested to merge my accounts?
Would the hats have been merged as well, giving me both versions to wear?