In all honesty, when you think about it, a claim to any lineage is only a claim to a particular lineage. With the longer the lineage, the greater the chance it becomes more meaningless.
One must remember, that as a teacher, you may not necessarily be a good teacher, no matter how skilled or capable you; as the teacher, is.
One must also remember, that as a student, you may not necessarily learn well, no matter how skilled or capable you, and/or the teacher, is.
This basically introduces three stages of a break within a lineage within two generations alone (the teacher and the pupil). So lineage does not equate to the same quality of knowledge or understanding, even amongst the same generation of students/teachers that has a prestigious line. You then apply this across many generations, and it is very easy to see, that it quickly becomes nothing more than a history lesson of the school and nothing more. You can have dead ends to such lineage tree branches after all, through no fault of anyone on that branch that reached such an end.
So I would pay it no mind.
See the content and go from there.