Brilliantly done Marc!!!!

As I first looked at these two swords, I could see the similarity described in some degree in the assymetrical projection of the pommel, with the Bedouin form carved and the lower section of grip paralleling it. The same general feel for the second sword comes from that projecting pommel.
It is amazing that you were able to recognize that motif from such a completely different cultural sphere than those being discussed! When Rick noted he had seen the motif, I had been thinking much the same, but could not place it. When I saw your photos of the 'Filipino' sword I instantly recalled a sword I have seen of that same type with the characteristic exaggerated finger stalls in the grip, and the curious notched shape of the pommel. The one I had seen carried the same linear application of motif on the blade, deeply incised, but with only the 'lazy S' character, it was not alternately marked with the other geometric combination.
The example I am describing was considered Spanish colonial and as having been found in Monterrey, Mexico, however subsequent research revealed that these had been in noticeable quantity as 'bring backs' from Cuba during the Spanish American War. I have also seen them described remarkably, though questionably, as Algerian.
It would seem that these deeply fingerstalled grip, guardless swords are indeed ersatz civilian weapons that derive from the Spanish Colonial sphere, which included vast ports of call from the Maghreb, through Cuba, Mexico and the Philippines.
Ruturning to Ariels sword, the question of course becomes, what could be the explanation for such motif seemingly well known on Spanish colonial weapons appearing on a weapon presumed from Balkan regions. The association between Arab weapons and Spanish weapons has of course been historically constant, and it would seem that a motif that occurs on Spanish weapons may well appear on an Arab weapon such as those used by the Bedouin. However, it is of course important to consider which tribes and geographic regions would be applicable.
While Ariels new addition is clearly much more refined than the Bedouin example with the standard trade blade, it is still a quite workmanlike weapon, even with the steel pommel collar and the bolster at the end of the grip.
With the key association to the motif on the blade, it would seem that the Spanish assessment may well apply, but it does not seem these blades were lent to trade, so direct connection to the Bedouin, especially as far east as the Sinai may be unlikely. The Balkan connection may be even more difficult to establish, but with the typical diffusion of trade and geopolitical diaspora, who knows!!!
All points to consider, but as always.....more research to be done!
Thank you again for the importantly placed illustrations establishing that motif!!
All the best,
Jim