I really like the way that Substance Painter synchronizes the 3D and 2D/UV views, and am suggesting some of what they do would be a real enhancement to the Paint room as well.
1) You can cycle among the main texture channels via a single hotkey (C) and both views show that data shading (basecolor, roughness, etc.). You can also choose these from a viewport toolbar dropdown list.
2) You can cycle among the baked mesh map channels via a single hotkey (B) and both views show that data shading (AO, Curvature, Position, etc.). You can also choose these from a viewport toolbar dropdown list.
3) Hotkeys such as focus (i.e. Shift+A, Shift+Z in the 3DC viewport) are also applied to the 2D/UV view, making it easy to re-center the view and show the full extent (in UV terms, frame the main tile).