Any certificate is only as accurate as the knowledge of the person providing the information. Death certificates, in particular, have the added situation of the grief/stress that person is likely experiencing, which may mean their recall is poor, even if they do know the accurate details, thus resulting in giving wrong one/s.
The death certificate may well be correct, but we have sugested a birth certificate that, given the lack of a more obvious one for your chap that matches the death certificate details, is worth researching further, as it just might be for him after all.