Calls getting caught in the "page"

We have a client who uses their paging system to announce most of their calls for pickup because their employees are always in motion and they have about a half dozen phones strewn about with generic extension info (Mid-Floor, etc). They have had a couple occurrences where a call gets announced as being parked on parking lot XXX, and if the call gets picked up from any of the paged extensions before the pager hangs up the phone and ends the page, the call audio will get routed through the page channel and everyone will hear the customer speaking.

From what I was told, this problem is not 100% reproducible, so sometimes the call is not paged through all extensions even if it was picked up before the page ends. From what I have gathered about how paging works in Asterisk, a conference bridge is established with all extensions on mute (except the caller, so you can hear them). When the caller hangs up, the room is destroyed. So it seems like maybe the picked up call is being added to the conference bridge. The thing that doesn't make sense is the room seems to persist beyond the point of the caller hanging up?

Has anyone else experienced this? Did a search but couldn't find anything in the forums.

Cheers