In my experience the “coolness” factor of Star Wars is not so straightforward to pin down. Certainly, one could look at old footage from the time the movies were released in theaters (1977-1983) and come away with the impression that Star Wars was universally considered cool by the general public. The huge lines of movie-goers seemed to be sampled from the general population - including hip 70s teenagers. Star Wars appears to have been a cultural phenomenon with universal appeal. It was certainly cool, and distinct from more niche, “nerdy” sci-fi sub-cultures around shows like Star Trek.

However, all of that was before my time. I grew up in the VHS era of Star Wars in the late 80s and early 90s. In my anecdotal experience, by this point in time (ca. 1985-1995), Star Wars had drifted towards being decidedly LESS cool. Star Wars was still not quite the same level of nerdiness as Star Trek, but let’s just say the majority of Star Wars fans from that time probably wouldn’t appear to have been sampled from those long lines of “cool 70s teenagers” lining up to see Star Wars for the 20th time in the summer of 1977. Rather, a random sample of Star Wars fans in 1985-1995 would probably look similar to a random sample of people attending a Star Trek convention.

Certainly, by the late 90s, being an enthusiastic Star Wars fan while attending an American high school was not exactly the best way to climb the teenage social hierarchy if you had that sort of ambition. Fortunately, I didn’t, and my friends were all hopeless nerds anyway. Nonetheless, Star Wars briefly returned to being universally cool in the mainstream in 1997 when the Special Editions were released in theaters.

TLDR: Star Wars was cool, but only in short bursts, usually corresponding with a theatrical release. In between theatrical releases it was decidedly LESS cool, and dedicated Star Wars fans were viewed as nerdy losers similar to fans of more niche sci-fi like Star Trek.