Oh my we can certainly say it did. If for now other reason that two of the most influential Presidents were ardent Mahan supporters.

Teddy Roosevelt kept a correspondence with him, and they greatly respected each other as naval historians(TR wrote the first comprehensive modern history of the USN in 1812). And TR saw the importance of the USN and a true battle fleet in achieving his goals for the nation on the world stage.

Consequently his deployment of the Great White Fleet as President, and ordering of the Asiatic Squadron to concentrate in 1898 as Ast. SECNAV are both well in line with Mahanian doctrine and paid large dividends.

The Great White Fleet can be seen as America's first assertion of truly global power projection to any foe. And it is not by accident it took the form of the concentrated battle line of the navy on the cruise.

Meanwhile when he was first entering political life one of FDR's first gifts from TR was a copy of The Influence of Seapower. And perhaps even more so than TR, Ford, Carter, or any of the others FDR was the one who LOVED the navy the most, and cared for it most deeply. And as such he was constantly up to date on what down to individual ships were doing, how they intended to fight, and even frustrated the Navy at times with picking out individual skippers for ships.

His support for a strong Navy and most importantly one that had a powerful battle line pre 1941 was meant to ensure that it could fight a great battle of decision on its terms after successful advance across the Pacific under War Plan Orange. It is no accident that in the late 1930's the USN was the nation that built the most new Battleships.

While other decisions, such as the choice of Pearl Harbor as the new permanent home of the Pacific Fleet, while creating more tension with Japan, were in keeping with Mahanian doctrine of strong secure fleet bases as best positioned as possible. While American possession and retention of locations such as Guam, Wake, and the Philippines were informed by the same.