According to Wikidata, anisole has a dipole moment of 1.38D and according to this page on Researchgate, phenol has a dipole moment of 1.70D.
According to my reasoning, $\ce{-CH3}$ can show a good +I effect and hence the positive charge on oxygen is more stabilized in the canonical forms and so the negative charge must be more delocalized and hence anisole should have a higher dipole moment. My concern also extends to the reaction of both anisole and phenol with Lewis acids like $\ce{AlCl3}$ in case of the Friedel-Crafts reaction. This paper states that phenol forms a complex with $\ce{AlCl3}$ and consequently its activity is decreased. But this states that anisole prefers C-acylation. Now, with some hints from this answer, I have come to believe that the reason for the more easy Friedel-Crafts reaction by anisole is due to its less dipole moment causing it to react less with the Lewis Acids and activate the ring more. But it still doesn't make sense to me, and I cannot explain to myself how even the dipole moment of anisole is less than that of phenol. Please explain in regard to Friedel-Crafts also. Thanks!