Chrono Cross is a great game, but tbh I don't know why they included it in the one FF compilation. Yeah it's got some similar design elements, but that's just cuz it's made by Square. There's no direct link that I'm aware of, no retitling of games like there is with Seiken Densetsu (Mana series/Final Fantasy Adventure) or the SaGa series.
Plus if you decide to hook Chrono Cross into your equation because of Final Fantasy Chronicles, you then have just signed up to get Chrono Trigger on the SNES/SFC too and that's a pricey pricey game.