[quote=@Spriggs27]
[@White Feather] 

Neither it's a school, for one Sasha and Itsuko are just trying to win a breast measuring contest really, see which ever one is better at what they do by using Luci, if it was any other male character then I think they would've either have the two fight to the near death or chosen one instead of staying in the middle. 

And if this was a mental institute then we wouldn't have people like Izumi here, plus a harem would require a number of girls you have 2 confirmed as harem. 
[/quote]

Technically, it's a grand total of zero. None of the shipping is canon. Like you said, Luci's only really an arbiter rather than someone these two are actually interested in. The IC is more likely to give us a Itsuko/Sasha ship than a Luci/[i]anyone[/i] ship.
Besides, the middle's a good place to be. Warm, protected and a good view of either side. 
The mental institute stroke harem thing was a joke...