At minimum, Limited Edition Soul Puppets are of Great Quality, but you will also have a
1 in 10 chance of it being a Superb instead.
Note that if you do not understand Soul Puppet quality yet, please read this tutorial to learn more.
Special Edition Soul Puppets are sent to you in egg form. So if it is a Great instead of a Superb, you can risk painting it. Beware, however, that the chance of a successful egg painting is extremely low.