Very Good info in the post above, I might be able to add a few things
As said with temp changes, if you don't get a great many factors right your comfort will fluctuate with teh temperature.
You need to consider a few other factors.
Hysteresis.
1- Your dampers are opening way fast. You need a gradual opening, the slower the better.
2- Airflow is not linear, and in your dampers I would expect to see a fairly narrow airflow control window. There are bery large gaps at the sides. Even on very tight fitting ones, you would notice if measuring flow, that you might be down to 15% of design flow at 30% damper opening, for example.
3 - You need to somehow factor in the load for the furnace because if you interfere with the air delivery you may slow flow too much across it. You also need to maintain velocity in all rooms at a minimum, and vary the supply temperature to have a chance at good control.
4- if you use time of flight controls, make sure every day they do an end to end reset.
5- Also as said above you need to be mindful of pressure drops and the effect a rapidly closing damper will have on the other outlets in the system. If 4/5 are at temp, then the remaining 1/5 will be howling and dumping alot of heat into that space.
Ideally you would have a method of dumping the excess or scaling back the fan ouput pressure.
6- The dampers in the video might be noisy depending on static pressure
7- You need a control loop that is very relaxed. Start off with Proportional/Integral control and go from there.
I like your idea, it is feasible and a bit of fun but there are many factors that must be considered for it to be successful.