Instead, the courts use the "property clause"
Federal lands are managed in accordance with the acts of congress and the main one is FLPMA in 1976. The Taylor Grazing Act, Endangered Species Act, and a few others also play a big part. Other lesser acts also come into play, like wild and scenic river act or the Wilderness act.
The Land Agencies are like all federal agencies, they have a large number of lawyers to interpret acts of congress, court decisions, and negotiated agreements.
I find it interesting, and strongly disagree with your premise that it is not applicable. 1,8,17 is THE oontrolling portion of the contract between the states and the federal government that limits the land area within states that federal can control, and the purposes to which they shall be used.