I like the type of challenge they produce - dodging constant horizontal attacks. Perhaps that sort of thing would be better suited to a weather condition like a hailstorm (or ember storm) in a driving wind.
I haven't seen the 'elite' version yet either so perhaps they already this but my suggestion for the standard eagles would be:
-improve the animation
-spawn at ~80% of the current rate
-if an eagle is above you, ~50% of the time it will do a dive-bomb towards you, return to its original height, and carry on.