This is a very interesting thread. The jineta hilts are most likely derived from earlier Islamic hilts, with down turned quillons. However, these quillons are always parallel to the blade, which is quite different from the sword on the effigy. The only exception is the falchion in Paris. The pommels are also quite different, either round or spherical in form, with a spike.
There are however swords with a similar guard in this thread:
http://www.vikingsword.com/vb/showth...t=24397&page=2