I’m neck deep in both Masks and Blades in the Dark right now! 4 sessions into BitD, and about to have session 13 of Masks.
So, Blades does a perfectly fine job of handling “not crime” stuff, in my opinion. When you’re not criming, you’re just roleplaying like any traditional game: players say stuff, you make stuff happen. A not-insignificant amount of my players’ time has been spent interacting with their relevant NPCs (old noble friends, old thug friends, mom and dad and childhood love, demon girlfriend, etc) in ways tangential to scores, framed around their Downtime actions. Basically, I just stick to scene framing and if there’s anything interesting going on, we hop to t and keep the game rolling, and if people want to spend Downtime actions doing X, well then I use the scene framing to get there if there’s someone worth talking to there. It may not be everyone’s style, sure, but I can tell you it doesn’t break the engine to “idle” like this.
And for Masks, I’ll say one quick dumb fix for the teenager stuff is to run it with 20-somethings, a la Arrow, Flash, & Supergirl. None of those shows are about teenagers, but all of those shows are about people’s expectations being thrust on the heroes and figuring out what kind of person you want to be. CW drama is basically perfect for Masks, despite a shortage of teenagers in the mix. Dunno if that helps at all with your misgivings, but it is a potential angle.