It provides some good information, but it misses out some key details:
#1 Quarantine does not immediately bring down the infection rates, there will be a delay of between 5 and 14 days between stopping the water leave the green bucket and the level in the bottle ceasing to rise.
#2 It doesn't take into account the reduction in your health care capacity as all the doctors and nurses treating the ill catch the disease in the initial phases and all get sick together. This is what crippled the health care services in Wuhan and now Italy.
#3 We don't actually have any scientific proof that this virus leads to immunity being developed. Imagine all those people coming out of the hole in the bottle as recovered, finding themselves back in the green bucket having to go through the same bottle over and over again.
#4 Everyday water is coming out of the bucket the rate that the water comes out of the bucket increases. So the point where you try to stop the water flowing out of the bucket is the point where you also have the highest flwo of water.
Implementing sensible precautions now, short of a full quarantine, could rapidly slow the rate of water coming out of the bucket. It would also buy time for preparatory work, such as learning from other countries that are in crisis. Potentially developing some immunity within healthcare proffessionals, and allow for them to free up space within the hospitals for the inevitable peak in infection rates.
Basically, an overly simple model doesn't help. Particularly when it comes to point 2, as it assumes your healthcare capacity is a constant. When we know it isn't. It can go down, due to the medics getting sick, and equally it can go up if sensible preperations are made to free up bed space.