ffix was supposed to be a "return 2 the old ff's", right?
Yep, that's what the creators said.
wat happened to red mages, summoners with horns
ALL the FFIX summoners have horns, except Garnet, who (SPOILER)had hers cut off to make her look like a "normal" human
wat happened to red mages
Lani is a red mage, and there are red mages wandering the streets of Lindblum and Daguerro.
and time mages?
FFV was the only old-school game that had time mages as a specific class, I think. Every other game gave those skills to white and black mages.

I like the idea of being inspired by tradition, but I don't see the point of shamelessly recycling something that was done decades ago, and spitting out a carbon-copy that's identical except for the graphics. Progress is all about change, about building upon what went before. If old ideas work well, then of course they should be utilised; but doing something solely because it's an old idea is sort of pointless.