The setting is very unusual in regards to it not making complete sense given what we know of Genshiken.

Madarame is still chairman of Genshiken, so this story would be occurring prior to Ogiue arriving, except… Kuchiki is a member!

How can Kuchiki be a member of Genshiken during Madarame’s period as Chairman when he only joined officially after Madarame passed the position over to Sasahara?  Unless this takes place in that brief period where Kuchiki tried to become a member but didn’t, I think we can safely say that this story does not take place in the manga or anime timelines.