Yes, Wylde once had a very sensitive side, which is showcased on the brilliant Book of Shadows album. Especially on one of my favorite acoustic tracks ever recorded, called "Sold My Soul".
Even if you don't like the Wylde of today, this song and video prove why he is revered as a guitar God. And he actually has a mean set of pipes (or at least had) - the vocal performance on this song is haunting.

"Sold My Soul"
Also check out a young Wylde rockin' the solo to the same song: