Zombie "Scenario Search Items"

[munkymuddface]

I recently played the Zombie Apocalypse scenario where the zombies have a goal of destroying six buildings. On the first zombie turn, they drew "Oh my God, they've taken the..." and got to fill up a building on the other side of the board from all the heroes. There was no way the heroes could get to there in time to occupy the building or lure the zombies out, so it was an easy turn 2 take down for that buidling on the next zombie turn.

Smewhere in the rulebook I rememer reading that Heroes should shuffle scenario search items if they are drawn as a starting card. For the purposes of this scenario, should "oh my God, they've taken the..." be considered a scenario search item that should be shuffled back in on the first turn? Do you think this is a fair houserule for this scenario?