Half a billion years of single and small multicell carcases building up 2 mile deep sediments probably was the source of most of it.
Your scenario would mean that the earth would be covered in oil. No place would be without oil. A 2 mile deep pile of carcases would make us drown in oil. There are unanswered questions and anomalies with your assumptions.
One good thing about your theory is we could kill all the Chinese and make enough oil from the bodies to run for many years. A billion or so bodies converted to oil would save the polar bears for a few more years. Kinda a win win don't ya know. The UN could decide who lives and who dies. Finally the UN has a usefull purpose.