For 12 years? Bullsh*t. She stuck with the X-Men even without her powers, for crying out loud.
Irrelevant. You don't need superpowers to rule a nation (see T'challa).
If she's ineffective at leading a group of people in anything other than combat, it's because she's never DONE any other kind of leadership, save for her stint as a goddess (which I'm fairly sure had lots of leadership opportunities).
Untrue. That has been my point the entire time. She HAS led outside of combat and she has failed:
Here she broods over her failures concerning the Morlocks:
Storm #1 (1997 mini)

She orders the new group to go to a village in the Sudan:
Storm #4

Uncanny Annual 97
The emergent leader of the Gene Nation, D'Gard, schools Storm on her abandonment of the group and subsequent poor leadership:

D'Gard assumes leadership in a verbal coup of the group since Storm has proved inadequate

The point is that STorm can lead the hell out of a team with the mission of saving the world from alien invaders but when it comes to leading a community with domestic issues, she fails. Those simply require different kinds of leadership. Every Mayor of a city wouldn't necessarily make a good STormin Norman on the battlefield and vice versa.
Furthermore, how did she "abandon" the X-Men? She left. She quit. That was her right to do so. She didn't leave them in the middle of a war, or when they needed her most. She didn't steal all the school's money and take off. She simply decided it was time to move on - and so far, I don't see the X-Men suffering from anything in her absence except for common sense.
I said "team of students." I'm talking about the supposed students she served as advisor to while she lived at the X-mansion. In her credit they (really "him") were only made up as a plot device in the New X-men v2 series post House of M when the
X-Men Evolution creators took over writing duties. You can blame Kyle and Yost for suggesting that Storm had a team of students at the mansion while she was absent from the mansion for most of the original run with the former writers. In fact the only student mentioned is Nezhno the Wakandan mutant (who was shown going to her wedding). We don't even know who the rest of her students were. Thus this issue can be looked over but it is still a loose end that needs tying. I mean basically you have 2 years of New X-MEn issues with no mentioning of her having a team while she is doing X.S.E. stuff then going to AFrica then long after she gets married, new writers interject "Hey what about the students you were advising these past years that were never mentioned until now?"