That’s like saying that two separate entities who have the same mindset deserve to be treated as the same characters, which I think many people would disagree with. Of course, the fact that they are both “kagari” definitely complicates things.
My argument for them being different stems from the fact that their personality is different, but you make a good point in that the same goes for, for example, Akane in Chihaya’s route, and Akane in her own route. But, depending on your own beliefs, all personalities are shaped by experiences, and the fact that earth kagari and moon kagari have experienced different things makes them, naturally, have differing personalities.
Thus the argument for differing personalities no longer stands. In that case, how do you define the separation between characters? Through their existence? Through their names and faces? We might even start going into deep philosophical discourse just to decide on whether or not Earth Kagari and Moon Kagari are the same “character”