There are definite similarities. But they aren't supposed to be identical, and GB isn't claiming that they are. Hence the term "history inspired". You could see how they took those 50s uniforms (that they didn't wear very long at all, if I understand correctly) as a starting point for the design.
Funny thing, out of the whole history of Packers uniforms, that particular one has always stuck in my mind. When they came out with the white color rush uniforms, I was wondering why they didn't do something like those all green ones?
The other uniform sticks in my head was Ron Wolf's Notre Dame-ish gold and green design that never saw the field. I'm glad they didn't change from the classic design, but I don't think those are bad at all, and I wouldn't mind seeing them as an alternate someday.