For that matter, there is no reason why the original saved criteria (if they existed) couldn't have a Criteria Editor where you could change the criteria in any way you wished.
I often use the Groups sidebar in conjunction with Timeline view to review carefully selected individuals for possible geographic and timeline crossovers along with data review.
The most productive way I can think of to increase the speed of working through and reconciling Group Members is either a Hot Key shortcut to remove any member in highlight or a sidebar selection as in my image attached. In my example suggested I would be able to arrow up and down through the Group members, assess them visually by geography and timeline and press the spacebar to highlight them for deselection. A specific HotKey would also be productive.
Currently I have to select a different Tab, right click, select QuickGroups, deselect the person in interest, click OK and return to the TimeLine View. SIX clicks where ONE click would suffice.
No need to apologize for diversification, I often do the same and many minds are better than one.
On the theme of remembering and Macros I used Lotus Approach many years ago and I could build a view (like a worksheet) assign a Macro to be run on view selection which would find and sort my requirements, that was 20+ years ago. I would like that ability on People View so I could add extra People View Tabs for different needs and Rootsmagic would remember the set up rather than constantly tweaking the view. With the dropdown for Named Groups the need for remember the find criteria no longer exists and multi sort fields have been wished for before on People View.
It's all about productivity in the end and SIX clicks to do something where ONE click would suffice is far from productive.