Hi, I encountered the same issue.
It sounds like a sound file was corrupted, and the loop has been badly increased on volume, giving us a strange sound. The sounds do vary between the wolves.
On Forest Tail, & Ember Tail, and Spectral Trail; (i'm certain the other Flaming Wolves too)
When the mount runs, the growling sound is almost on loop, but gets stuck mid growl, making it sound like your driving through a tunnel or a long bridge, and the sound of the engine is echoing continously.
On Cinder, Slash, Temper and Blitz , (and the other metal wolves)
Instead of the wolves' grunts being on loop, it's the actual sound of their chains that get corrupted on a horrible rendition of a loop. It sounds like a clump of chains are being dragged at a high speed, and scratching the concrete surface.
These sounds occur when moving with the mounts.
Stationary they sound fine