When they say dna is old what I think they mean is that certain dna groups die out because for example some women have sons or do not have children which means that their mitochondrial dna is not passed on. The same goes for men and sons.
This is completely idoiotic (either you or them). a) What groups of people have sons and not daughters? b) what groups of people do not have children? If you can name either perhaps you can a) tell us and b) tell the relevant academics. But in any case what such groups of people can claim by way of an effect on the human race is irrelevant since they can't have had any effect.
As for Out of Africa, there's a study by Russian academics which is on the web somewhere claiming that humans started off in eastern Europe and the middle east rather than Africa..
People can claim whatever they like as long as they don't say the humans of Eastern Europe (or the Middle East) have an older DNA than anybody else.