What's the order of rallying?

[dTerm]

I did some experimentation to gain an understanding how rallying works.

I used scenario 1 'Organized Chaos' for testing and turned off auto-rally. Then I z-fired unit E3 until I became suppressed (23). I then rallyed it manually.

So apparently the order rallying attempts are made is first platoon leader E0, after that company commander B0 and lastly the squad leader.
And I never get the overall commander A0 to rally the unit, though unit E3 is within 3 hexes of any superiour unit.
I am a bit puzzled now, as I always thought rallying attempts are made bottom-up; at least that's how I remember it to work from the original DOS version. Maybe I am wrong here...

Are there any changes, that have been made over the years, or is there more to it, than I think of?

I already read most of the stuff in the manual, but it's a bit complicated.