Honestly I think its always tended to be a bit more than that, even in the original film I think you had the idea that Luke wasnt just "the good guy fighting the badguys" but that he was rejecting both the establishment and stay at home apathy, choosing to take the spiritual and moral path of the Jedi was a reflection of counter culture and anti Nam sentiment of Lucas's era IMHO. You also had Leia obviously undermining the male characters view of her as a damsel to be rescued which in the late 70's was IMHO more subversive than anything the sequels.
By the time you get to Empire Strikes Back though I do think the series quite clearly focuses on more than your simple heroic good vs evil, the whole focus of the film is in undermining that, on Luke's simpler heroic ideas being taken apart. By Return of the Jedi really you have a story which is more about forgiveness than defeating evil, Luke believing Vader can be redeemed and having to defeat his own anger and hate to do so. That you also had Lucas offering some more kid friendly stuff with the Evokes I think maybe disguised that.
The Godzilla films cost like $150 million don't they? not really "cheap" and I would argue actually Abrams kitchen sink style is actually very expensive, he needs to be throwing some action set piece in the viewers face every 10 mins rather than building towards a handful of them like say Wrath of Khan did back in the day.
Again I do think that Abrams recasted Trek roels were actually pretty good, his Kirk/Spock/McCoy definitely showed potential, the problem is his films were not character focused. We got some simplistic idea about Kirk and Spock being destined to be friends playing to nostalgia but really much proper character work, just an endless series of arguments and twists.
With Star wars I think stuff like Rogue One and Andor really are not THAT far from the originals, people talk them up as these radically different adult versions of SW but I think its moreso that Andor especially just has some of the more kid friendly stuff removed. Things like uke's moral trials in Empire/Jedi or Han's lardonic wit would fit right in with that kind of tone which treated the setting very seriously for the most part.
I think they also "get" what really worked in the original films with the setting, Lucas in the prequels tried to build this grand universe but I don't think theres really needed. In the originals you don't actually see a ton of detail, you just see enough to make it credible enough to sell you character stories. Rogue One and Andor are the same, we see these bits and peices which reference real politics and build up credibility but the real focus is on the characters, making their stories have weight. The details of how the Emperor took power just in themselves I don't think are as interesting as how that reflects on the characters.