I have a lot of QAT items that get buried in a menu when the window is anything less than maximized. I would prefer if the QAT would take precedence over the area housing my username & organization - I know who I am and where I work; I don't need it taking up space in the already cramped title bar. The only time that information is useful to me is when I get randomly signed out and it says 'Not signed in,' which could be replaced with a notification of some sort, or maybe have it display then and only then. So, if this could either go away automatically when things get cramped, or if there could be a user option to hide this altogether, that would be great.

"You can display the bar below the ribbon!" Yes, but then I lose more vertical space than I already have lost with the ribbon being so large.
Related: Prioritize keeping Quick Access Toolbar open over ... - Esri Community