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.