Here's a reference for the two American Rifleman articles that Finn Aagaard wrote:

American Rifleman Nov, 1986
American Rifleman April, 1990

Here is part of what he wrote about the 7x57 in the 3rd Nosler Reloading Manual:

"After encountering it in war, both the United States and Great Britain conceded its superiority over their service cartridges at the time. As a result, the U.S.A. developed the .30-06, which is in effect the 7x57 enlarged to .30 caliber..."

So O'Connor, Aagaard and Carmichael all credit the 7x57 for inspiring the .30-06. And of course the courts decided that the Mauser inspired the Springfield rifle, since they awarded royalty duties to the Mauser company for patent infringement.