Three is really high and even 2 is pretty high. If you set the top of your skill pyramid at great then only your top skill beats a 3, and even it doesn't beat it by enough to make it worthwhile to get when your muse is almost as good. The logic is similar with 2s except if you are planning on making the skill your apex skill. I mean why invest one of your two precious goods when your muse can already do at fair? IMHO if you must give muses skill, you should leave them at average*. However, why even do that? Muses are a great way to give the players information, and for the players to ask the GM questions. Adding a skill roll to the equation just seems like a way to gum up the works - "I wanted to tell my players something about the statue that they saw but unfortunately their muse failed it's academic roll" or "that was a really smart question Janice asked, too bad her muse didn't come through for her on it." Just let muses know what you want them to know and don't mess with rolling dice over it. * - Muses that players have invested an aspect or an Extra in, obviously can be smarter and more capable than average muses.

Seriously. For PCs, one of the core functions of a Muse is to keep them on an even mental keel in the face of sanity-shredding experiences like waking up to the memory of their own death. If you want interaction with your muse to try to reduce the amount of mental stress you take from that sort of thing, it's reasonable and well within their intended function, but likely not a conversation you want to spend time on at the gaming table. So it's a perfect candidate to abstract away with a dice roll.