Wolf is a male pet name that does exactly what it says: it names an animal after the wild ancestor of all domestic dogs. It works as a German given name (from Old High German wulf), as a direct animal reference, and as a one-syllable call that carries across any terrain without being confused for a command.
The Wild Ancestry Reference
Naming a dog Wolf acknowledges the gray wolf as the domestic dog's ancestor in the most direct way. It works best on breeds retaining the strongest visual resemblance: Siberian Huskies, Alaskan Malamutes, and Czechoslovakian Wolfdogs. On these dogs the name is not ironic at all.
Germanic Name Tradition
Wolf is a legitimate German given name. Wolfgang Mozart's name contains it. See the human version at Wolf and browse pet names for related options like Fenrir.
Counter-Reading: Requires the Right Dog
Wolf on a Golden Doodle is a comedy name. Wolf on a Malamute is perfect. The gap between those two readings is significant. Make sure the dog earns the name, or commit to the ironic version with complete self-awareness and the ability to laugh about it for the next decade.