The way I read the "station combat" here is as in-corp treachery.
1) The assassin and the target are both initially in the same area, overlooking the battle.
2) She's able to walk directly into the area he's directing combat resources from. Unless this is extremely ill-advised "public battle management," this implies that this is a members-only bit of turf.
3) She's able to do the above while armed.
That, to me, says "treacherous director."
I suspect that corporations will be able to restrict who can be armed while moving around corp/alliance areas. You do want to be able to forcibly eject people whose presence you object to (e.g., suspected spies) from C&C; pulling a gun and executing them is a nice, neat way to do it. However, getting popped by one of your "own" would definitely be an accompanying risk.
Eeeee. Treachery with added drama.
Other than that, my suspicion is that stationside combat will be restricted in capsuleer "common" areas such as bars, shops, and similar hangouts. The "baseline" sections of the station might be another matter, however: if capsuleers are fair game for random citizens (to say nothing of security) when they move outside their domain (see the chronicle, "Jita 4-4"), those areas might end up being the stationside equivalent of low or nullsec.
... So the rewards of venturing into them better be worthwhile. (Incidentally, if it's not already clear, I'm pretty sure that whatever advance is allowing the cloning of the DUST ground-pounders will apply to capsuleers, as well.)
And yes, I suspect that stationside combat will have more in common with the Eve we know than with Mass Effect.