This would be great 
And I would add, it would also be super useful if the “default view” for a particular entity could be defined by a formula. So the “view selector” would have an entry for each manually created named view, plus one for “Auto” (a formula), and another for “Show All Fields”.
Also, regarding the current ability to hide fields (which is awesome) – I would find it very helpful to have a “Show All Fields” toggle in the fields selectors, which would TEMPORARILY (and only for the current user) show all fields… and which could simply be un-toggled to return to the previous selection of fields. Or perhaps this should be in the “View Selector”?