Well noted Marius, technically the term 'firangi' is indicative of an other than Indian blade on one of these swords, actually known in Indian dialects as 'khanda' . To carry it further, these type hilts became known as 'Hindu basket hilts' post European contact and evolved presumably influenced by European style from the old and simpler hilt 'khanda'.
The term firangi does typically allude to a European blade, however, in its more broad use as 'foreign' can refer to any blade from foreign source outside India, including Persia, Middle East etc.
The firangi term has become a colloquialism for these swords among collectors in the broader sense as well, beyond these technicalities.
Sorry Jens, we crossed posts, just saw yours
and I had not thought of the decoration inclusion as well.