I'm in Blender 4.0 and this shader doesn't appear in the shaders menu at all, even if I search.
"The Glossy and Anisotropic BSDF were merged into a single Glossy BSDF with anisotropy control. When opening files saved in 4.0 in older versions, all "Glossy BSDF" nodes will show up as Anisotropic BSDF nodes."
It's been merged to declutter the whole menu. So you're right on track :)