I prefer the named characters of the Nintendo DS version than the nameless orphans of the Famicom version. I speculate that if the Famicom had the resources that Squaresoft would have created individual personalities for the purposes of this story as this was the last time that they created a nameless party as seen in Final Fantasy.
Final Fantasy V followed the same formula as Final Fantasy III, but we have characters from that game like Bartz with actual personalities, so it seems like a step backwards that they would create nameless characters unless it was to save cartridge space.