Do these suits have a name?

Zane, Jay, and Cole are customs I painted and Kai is from Super Brick Figs. I figured they’d be called the training suits, but their colored outfits are canonically named the training suits. That makes no sense to me considering these were what they presumably wore while training, and they only got their colors after learning (the steps to achieve) Spinjitzu. Since Kai trained in his blacksmith outfit, it’s possible the others trained in their flashback outfits as well. Maybe stealth or...