Zazen, if you're in true stalemate then by definition your heading angle is either 180 or 0 and aspect angle of 90 degrees. At stall speed it would take more than a few turns to gain angles for a shot.
Practical example of E management in stall fight would be stinky lufbery. You could stick to max turn possible and hope you ride the edge better and catch up, or loosen up a bit, gain speed and right before being shot go into high yoyo, which other guy couldn't follow up.
There are more examples (think of rolling scissors).
In any case it comes down to the same choice Murdr described earlier. It's up to the pilot and situation (here comes SA) when he'd go for E or angles advantage. It is in no way speed dependent and not only it is possible to manage E at stall speeds, it is very important to do so.
It is nearly impossible to describe difference between E and angles fight with pure ACM terminology anyways, hence I really don't categorize them as such. It comes more down to how you approach that particular fight you're in, i.e. aggressiveness and resulting risk.
And as Murdr mentioned, good pilots will constantly adapt/change depending on how the fight is progressing. They're not "style dependant".