1. an inherent part of the Operating System.
2. the only way Linux can be used.
The first point is debatable. In academic circles (where Linus has spent a big part of his career), operating systems usually designate the kernel. In commercial products, the kernel by itself is not very useful, so you'd add a few userland utilities to your definition.
The second point is simply wrong. Busybox is a very widely used alternative to GNU, and Android, arguably the most successful mass consumption Linux system to date, has zero GNU tool.
As much as I appreciate GNU, the FSF and rms, this constant demand for credit is, too often, misplaced and above all, a bunch of misguided rhetoric.
Can't we simply be happy for an engineer who fully deserves the recognition he's getting?