Not by the way I read it. It does not grant anything, it simply restricts what you already have. Thats why its worth +refresh rather than the other way around. Its certainly should not be interpreted to mean that you can stick you beast change bonus under it, because that is clearly not the way it was designed.
(+1). Nor the way the power is written.
Human Form explicitly talks about either not having super juice when NOT in your awesome form or not having super juice when it isn't your time of the month (or whatever period you follow). It doesn't talk about giving you an awesome form.
But Beast Change is a crazy good power (easily worth losing pure mortal's +2 AND the -1 cost). Reshuffle your skills? This means your human form can do human things (like knowing stuff, talking, etc.) while your beast form (awesome form) can be all about the things that make party members glare (starting fights).
Think about it, the skills you swap are like having stackable +1's (or more) on those skills for the time when you need it. So there is less of an opportunity cost of having certain skills (there are like 4 or 5 skills related to social interaction?) at higher ratings.
Now I take the skill shuffle to mean you must have at least 1 point in those skills and the same shape to your pyramid, but perhaps I am taking too strict a view. It technically just says:
1. Same number of skill points and same character creation rules (i.e. legit skill "pyramid" and skill caps).
2. No knowledge or social skills can go up in your beast form.
So maybe, you can have Mediocre Fists normally, but when you go fox or wolf or whatever you might have Great Fists! But I doubt that, it does look like you are supposed to keep the same skills (it is called a "shuffle," right?).
Human Guise doesn't give an alternate form. It just says that your normal face is X, but when you are cool and don't use much mojo, you have an natural camouflage cover.
Beast Form is just an incredible power. I see few shapeshifters that don't benefit from either Beast Form or True Shapeshifting (although I think this one is a bit overvalued, but maybe it is worth -4 because the skill shuffle can bring up mediocre skills, in which case all of the high skills for a True Shapeshifter should be knowledge/social skills).
A good trapping for a Fox shifter would be a bonus on athletics checks to get through wall borders (squeezing through cracks, jumping over, digging under, but not destroying them).