I loved both games - PSCD a bit more for the story and gameplay, PS1 a bit more for the writing and art (although with the manga update PSCD can match up to it.)
But in all honesty - there are many similarities in the casts (Bellamy and Mario, Prince Cliff and Rigel, Charlotte and Michelle, Rumi and Graciela, Kaden and Damien). This could make people think PSCD was just some bit of idea recycling and because of that still like PS1 better.
Well, just my thoughts about it.
(I have to admit though, that there will always be those people who will only accept the "original" and just as a matter of principle hate every following sequel, prequel, spin-off, etc. )