Higher spin theory in AdS3 can be constructed by the Chern-Simons formalism with a SL(3,R) gauge group. As a generalization to the BTZ black hole, higher spin black holes have been constructed, carrying a higher spin charge and a corresponding chemical potential. In this context, two black holes, that include the chemical potential to the connections in a different way, have been constructed in the literature. We will use higher spin entanglement entropy, which is defined by using a Wilson line, to check the validity of the discussed black holes. This is done by demanding that the entanglement entropy of the black holes behaves strongly sub-additive. We try to find an explanation for the fact that one of the black holes does not satisfy this requirement. In addition we aim to clarify the ambiguities that arise for the Wilson line entanglement entropy in higher spin theories.