Events, CSS, Multisite, Theme conflict

I'm not sure if this is a plugin problem, a theme problem, or a multisite problem....or what. It seems to touch on everything. :[

I have mentioned before in another thread that when I use the shortcode [eab_calendar network="yes"] -- only when I add the "network" argument -- the admin bar changes to a subsite of the network.

Now I seem to be seeing it pull entire CSS content from that other subsite! I'm completely stymied.

The best way I can tell you is to show you, so I've created a screencast:

I've got support access unlocked if anyone wants to poke around. The site is in development, nothing is live.

Thank you!