Alright, that’s a strange result, but good in that I think it points us better toward what is happening.
First thing, I would recommend not looping the alarm circuit through the tamper terminals. Especially having false alarm issues, it would be necessary to get that tamper switch out of the equation.
Second, if you are getting activation of that zone with the sensor powered off that is either a wiring issue, or somehow the zones got flip flopped and that is not the physical sensor connected to that zone.
Is that the “School Motion?” If so, I see an activation of that detector this morning even.
Try this: take that sensor and wiring completely out of the equation and just put the resistor directly into the Hardwire 16F terminals for that zone as a test.
You can program that zone as a door to hasten testing. With the resistor in place does the panel show that zone closed?
Then pull the resistor. Does the panel show the correct zone as open?
If the zone does not close and open as expected, you probably have a zone mix-up.
If it does, you likely have a wiring issue, perhaps a loose or damaged wire, or the tamper terminals on the Dual Tech were a potential cause.