I knew i had a very similar discussion like this a few month ago about the cross on the pommel of a falchion also dated at about 1300. Sadly, i didn't remember where it was... until now. Turns out the cross on the falchion is quite different from the cross on the sword currently under discussion.
Nevertheless, as i spent some time searching for it, i will
put the link here for further reference:
http://www.historische-waffenkunde.de/datenbank.htm
Best Regards,
Thilo