This is not Black Price :)
I have Black Prince and it has red flowers and dark red/green leaves. And this one is very easy to propagate though a leaf.
No they don't. Mine get the same treatment as cacti anyway, since I keep them all outside all year round. But they should bloom for you :)

This is my Prince :) In more shaded spot it would a bit more green. But it is a very dark succulent.