EzekielRaiden
Follower of the Way
I'd say it's split between them, specifically because of when it came out, near the blurred line between one generation and the next. 1977 means many Gen Xers were children too young to really watch film; the eldest would've only been 12, and there were six more years' worth of them waiting to be born. The vast majority of its audience when Star Wars released would've ranged from the youngest Baby Boomers on up to young Silent Generation folks (since if you were mid-30s in 1977, you were, properly speaking, Silent Generation.) By the time the last film came out, the youngest Gen Xers were still only three years old--a little too young.Nah it's very solidly GenX, c.f. Clerks etc.
That said, I will certainly agree that Gen X adopted many terms from Star Wars because they had filtered into the pop-culture zeitgeist. But I'm not sure whether that's necessarily the most relevant thing or not. As an example, it's mostly people of my generation who use Marvel movie jokes (like "I don't feel so good Mr. Stark..." or "I understood that reference!" or "Perfectly balanced, as all things should be"), but those movies were coming out at basically the time and place for Gen Z to be the self-perceived "owners" if this pattern generalized.
I have nothing to say about the actual plot or contents of the films, though, because I haven't seen them and everything I've ever heard tells me I made the correct choice not to do so. (I have heard that Rogue One is actually quite good though.)