X-Com style turn based strategy game
If anyone is willing to put in a little bit of extra work, I can definitely see something with a structure like LANCER(but not actually LANCER) working. It uses tactical grid based combat, including using cover mechanics, during battles, but outside of battles, it's a much more narrative style. I could see the players using a more crunchy system during combat, but outside of that, they're playing the different sections of X-COM with pbta style playbooks. The Researcher, the Engineer, the Commander, etc.
Legacy: Life Among the Ruins would also be good inspiration. It's a post-apocalyptic game with a deliberately huge timescale. Everyone has two playbooks. One is your "Family," or cult, or whatever the case may be. And that has certain benefits, and moves you make during timeskips, etc. And then a second, more ground level playbook for being specific characters. And that one you change out every time there's a timeskip. So sure, you might be playing a scout for the Machine Cult...but eventually there's a timeskip, and now you're playing an entirely different member of the Machine Cult. I feel like that would also lend itself well to "we play the higher-ups until combat happens, then we're the soldiers."