I personally know a couple of management types who I wouldn't let near anything more technical than a paperclip.
I think what they are saying is that you need to be able to get on with people as well as be able to take responsibility/authority. in addition be able to take critisism in a positive way and act on it as well as be able to analyse your own actions and understand where improvements can be made.
That said how many managers do you know/have had, that can do the above
Another point is it depends on the type of flying you are doing. Airliners require a different skillset/personality to freighters etc. etc.
So what does the interweb say about your personality?
Cheers Dan
P.S. Needles to say all of these ramblings are just my opinion, I'm sure someone who knows better will give you a real answer