I understand the logic, but see a few changes I would make.
In high deer density areas, the beans will be gone quickly. Then the 1st good frost will get the oats. After Nov, you are left only with rye.
I've done similar to the above recommendation, but have not found it any better than putting out seed in just 1 trip. Multiple trips also requires more time obviously.
Here is my take on "layering plots". With the oats, I mix in some crimson clover (or whatever annual clover you like) at a rate of 5lb/ac. AND/OR some type of brassica (purple top turnip are cheap and produce great food early and late season). Then I come back a couple weeks and broadcast 100lb/ac of rye or wheat. Theses grains can handle colder weather/frosts so you can plant them later. This will give you a variety of foods throughout the winter, whereas beans and oats are done after 1st frost.
Although I really don't see the need to come back twice with 100lbs/acre. That seems like a waste of money. The only thing this would benefit would weed control.