To clarify my previous query. I was NOT suggesting that GSMD/SOMD WOULD use DNA evidence in lieu of the traditional, documented historical evidence, BUT rather as a supplement to that evidence. The most likely use would probably be of the yDNA (male only side of the pedigree rather than mtDNA). It's restrictive, however, in that it requires an unbroken male pedigree for a surname: a test subject with that surname, and MOST IMPORTANTLY a same surnamed male with a proven GSMD/SOMD pedigree.
I would guess that most applicants with Y-DNA results would need additional documented evidence because, from what I understand, the Y-DNA is the same for brothers, straight-line uncles and male cousins of a common ancestor. A perfect example of this would be the Howland brothers, only one of which (John), arrived on the Mayflower.