This type of analysis certainly has merit, but it's not enough.
It's one thing to say that a major underlying influence of movie X is Y, but it's another thing to reduce X to an advertisement for or against Y.
A film critic needs to be able to recognize these major underlying influences without being blinded by them.
Star Wars was certainly influenced by young George Lucas' (Luke) struggle against the studios (The Empire), but one would be hard-pressed to claim that that's what Star Wars is "really about".
So, I think it's important to recognize these major underlying influences, but one's analysis shouldn't stop there.