Hey! Thanks for the comment.
Page 4 mentions how come the Grotesques are hostile to the players (they were indeed manipulated by the occupying Nazi forces):
"An ancient family of frightful protector spirits who found a permanent home on the walls and buttresses of the Notre-Dame cathedral, their eclectic forms slowly turned to stone. That is, until some occultist carved mystic runes into the church bells and rang them, binding the stony host to serve the Nazi war machine. Now, their endless monstrous forms swarm the skies above Paris, relentlessly stalking intruders."
The clock counts down at the end of every round (so after every player has taken their turn), not every turn. Every turn would definitely be too much, yeah!