"Roguelite" isn't really a genre, but a catchall for many types of game that use some elements that are common in roguelikes, but aren't really roguelikes.
I mean, Nova Drift and Inscryption are roguelites, but they just aren't in the same genre of game at all. One's an action Asteroids-like game, and the other a turn-based deckbuilder.
That definition of rougelike seems overly strict to me. I'd say the main difference is a system that provides progression outside of runs to make future runs easier. That would more things like FTL, enter the gungeon, and binding of Issac into the rougelike category.