I mean, why is there "Caitlin Snow" and "Caitlin Snow (Earth Prime)"?
Because of the Crisis results.
They're fundamentally different characters, even if they seem the same to us.
They mostly aren't the same characters as before, because in the new multiverse they all have lived their whole life on Earth-Prime with Superman, Black Lightning, etc.
They ARE the same characters as before the only difference is that earth 1, 38 and BL, earth combined. The CW treats it like that so why should we be different?
What do you think?