That's what I was imagining but still, how would that work?
Show all the characters names, you pick one, then what? A screen listing them wouldn't be helpful because you can't see them. Unless perhaps a small thing pops up like when you select a character on the select screen and with the list of outfit thumbnails pressing them once would uncheck an outfit and make it so it didn't come up in random/show up in the list.
But if I was an employee at team ninja I'd ask myself "why should I put effort into that"