Copied straight from the label on my bottle.
Fiebings Boot Care.
Leather and reptile cleaner and conditioner.
Polishes and preserves genuine leather and reptile boots.
I use it on my python boots. When the scales dry out they start to curl.
After an application of the above, everything is nice and soft again and I can smooth out the scales.
I'd be surprised if it didn't work on your wrap in the same way.