When using this option, Cats and Wolves during taming in 8/10 cases change their skin to random.
I'm using Minecraft 1.19.4, Quilt Loader 0.18.10, entity_texture_features_fabric_1.19.4-4.4.0-dev.1.jar and PureBDcraft 32x rpack.
For example: I have three wolf skins (white, brown and black). After I tame a black wolf, it becomes either white or black; white becomes black or brown, and brown becomes white or black. As I wrote earlier, this does not always work, sometimes he still retains his skin after taming.

Are there the exact same number of texture variants for wild and tamed wolves? And do they number up exactly, like is the brown one number 2 for both?

I think I see the issue, copy wolf.properties and name it wolf_tame.properties for now

Fixed in 4.4