Who would you say are the Chrono Trigger counterparts in Chrono Cross?

[Roogle]

If there's some kind of anomaly that prevents Radical Dreamers from existing alongside Chrono Cross, then it seems like that scene in Chronopolis should just be considered a quick little non-canonical cameo, in my opinion.

I took that quick scene as a cameo, too. The background in Chrono Cross is significantly different than the background in Radical Dreamers, so I wonder whether or not the writers took that into account when adding that scene into the game. I think Chrono Compendium has some more information about it.