I may misunderstood but in my eyes you are mixing apples and oranges.
The study mentioned above proves a clear correlation between the dam's on-track performance and the on-track performance of her production. This is not in doubt and has been proven by many studies in the harness world as well. I have done two such analyses on European trotters which have proven the same correlation (one of which was on the Scandinavian coldblood trotters which showed the correlation to be borderline extreme actually but that's beside the point). My original comment was that the maternal family of a stallion is insignifant to the stallion's performance at stud. I hope it is clear that those are two very different things.
There is also nothing in the quoted analysis which shows anything about performance at stud of the foals. Clearly those are not the same thing, hence my apples and oranges reference. (The analysis also looks at the dam-foal relation which naturally is much stronger than the relation with the maternal family (or tail female) as a whole.)
So when you say "There seems to be evidence in the post above this one Sturla" I would say "though the above is correct there is absolutely nothing in it contracting what I said."
...
"I am not sure what your random distribution paragraph is attempting to say other than" ...
"Are you suggesting the odds are no different for :
A good sire x A good mare = A good sire x A poor mare?"
I am sorry but who can you possibly extract that from what I wrote? I am puzzled you make that inference because I didn't say that nor do I even see how that can be read into it.