Try using the tab cycler. Settings, Tabs, Tab Features:
Thanks, it indeed solves half of the issue by providing the longer tab captions.
I once used the cycler but in its default configuration it didn't strike me as very useful; and I didn't know it can be presented as a list.
Vote for Changing the Window Panel. At one time, it showed only the tabs from the current window, but users wanted to see tabs in all windows. An option in Settings, Panel could solve that.
Thanks for directing me there. Voted.