1 edge could equal 1 die rerolled.
it could be 1/2 of the edge required to cancel the opposition's use of edge.
it could be 1/3 of the edge to heal a box of stun.
it could be 1/4 of the edge to heal a box of physical damage.
etc.
In aggregate, a point of edge is no small thing.
Edit to add my somewhat tongue in cheek comment earlier was how many combat turns will it take to get out of a car. Minor action to unbuckle but if it’s wirelessly engaged you get a bonus moot action to unbuckle etc.
While I know you are just making a tongue in check comment in the effort of humor ... if you have a GM that enforces this level of detail (or really anything near it) then you have a much bigger problem than the action economy. The system we built the new initiative and action economy around is setup to allow you to streamline and abstract many of the things you are complaining about. just to call attention to one of actions "Take Cover" .. unless the cover is several meters away there is no need to use a move action first.
So your example of the cinematic dive for cover while drawing and firing your pistol is a simple series of Take Cover, Quick Draw and Attack .. just 1 major and 2 minor which anyone not caught flat footed can pull off without any modifications or enhancements
The rules work when you ignore the rules isn’t the selling point on the rules you might think it is.
And my example was move to as in the cover isn’t right next to you. Some GMs might say get in cover includes 1/2 your move across a room others won’t.
Banshee didn't say to ignore the rules. He was saying a GM is probably being a Richard to make you spend an action to move in conjunction with spending an action to take cover.
OTOH if the cover is so far away that you do reasonably have to spend an action moving, then maybe your premise is wrong that an unaugmented, undrugged, un-magicked person should be able to do quite so many things all at once.
To reiterate your original scenario: a cinematic style diving for cover while pulling a gun and shooting it? That's 1 major and (in effect with the right gear) 2 minors. If the cover was so far away you couldn't dive into it without running first, then that's not your example now is it?