"A Study in Time" Quest seems to only trigger/advance when the party leader interacts with quest objectives

I play a lot of Coop with my girlfriend, and usually she’s party leader, but I interact with most quest stuff (because I’m a bit more impatient haha).

Twice now during campaign, we got stuck at this sidequest for a bit.
When you inspect the door inside the College in Imperial Era Welryn, the Skeleton Guard doesn’t let you through, until you present an imperial officer’s crest.

This is supposed to be a trigger for a Time Rift to appear, that leads to the ruined Era.
This Trigger seems to only work when the party leader interacts - which I think is inconsistent with how the rest of the game deals objectives.
Usually we never get stuck and I can interact with all sorts of stuff, even as non party leader, to advance quests.

I’d appreciate someone taking a look, and making sure this is consistent in terms of quest design.

Thanks EHG!