Fighting to get you and your team working on good projects is underappreciated. In my experience it's easier to seek out high-leverage work and focus on it than to promote average work.

This doesn't necessarily mean backstabbing and team-hopping, although that does happen in some dysfunctional companies. It means writing up ideas or problems into plans that your team can take and work on, with your name attached; killing off bad projects and fixing timesinks quickly; committing to other team members when they have good ideas, so that you're overall more successful, and to encourage reciprocity; and setting up processes to either minimise distractions, share them around, or make the distraction an actual KPI.