Not really.....its a distraction. We know the rough time and thats all the info that is required.
If it was imperative to know, it would have been detailed.
Besides, believers don't really care, only the unbelievers give a shit about minute details; and they disbelieve in teh God they are trying to disprove. Its what you call interfering bullshit.
Knowledge has its place, but remember it was the tree of knowledge that fucked eve up
There are many places in the modern world where birth 'dates' are not recorded, but other details are, such as seasons etc and 'birthdays' are more of an aniversary of time,
rather than a specific date.