The "kawaii" line is intended to be lolita, I think. The opening for kawaii had Misako design a dress and model for it, and there is a pannier (petticoat) that is a repeat re-release item in kawaii's shop. The pannier has rather low poof, though, it's more suitable for daily/casual.
As for the rest of Axes' lineup, they're only "girly" style and "loliable". If you own enough items, or if you manage to find an Axes Femme shop to compare in person, the kawaii lineup often has longer and wider skirts -- the difference isn't much, the kawaii line will have knee-length skirts and the other lines will have skirts that are just above the knees. It's still noticeable if you manage to compare a lot of them though.