No John that is not the case on the divi. The only way the divi shows up in your account at the close on the 15th is if you were the owner of record on Dec 1 and also own at the close on the 15th.
You can buy shares up to the close on the 15th and the divi will be a bill due divi and is paid on December 20.
If you were the owner of record on December 1 and do not own the stock at the close on the 15th you will have to return the bill due divi to your broker and they forward it to the new owner of the shares on December 15. That is why it takes three extra days to get the bill due divi.