For starters, the living male's chromosone may change some even in his lifetime. And, as I said, a little info is lost upon (X)Y's recombination with a new X. There really isn't much info on the Y in the first place, and when it mutates, it often proves fatal. In the XX, however, we get much better info, the mitochondrial DNA is more reliably tranmitted.
It'd be nice to have a sample of Noah, but we don't have it. All we have points in a more interesting way to Noah's wife--the XX.
So, the Y changes throughout many generations, and it changes within a lifetime, and it changes within a single recombination.
Note to self: file in Blue Moon Attempt.
Is that your actual answer?
It is rather easy to track male lineage via the Y chrosome. Mutations do not interfere with tracing of lineage.
THE Y CHROMOSOME IN THE STUDY OF HUMAN EVOLUTION, MIGRATION AND PREHISTORY