That is not what it was or how it was perceived. Did western Germans though they are living under the american rule? No. But in way they did and still do. That's how life works. Those big politics things do not affect every day life though. From living in the GDR and speaking to Germans also years afterwards I found out that our every dya life in the SU and that in the GDR were remarkably similar. Good and bad things. And they certainly did not see the the SU as an evil foreign power that occupies their land. Theat is how western propaganda pictures it.
Why do you think they needed walls, electric fences, and minefields to keep their population from leaving? Even some of the best hockey players in the west had defected from the east for better life in freedom.