That's the trouble with immersive theming....it paints you in a corner.
Because you're supposed to be in Andy's backyard, there are no carousels.
It's like what they did with Galaxy's Edge. Because it's during the Disney movies, you're not going to any popular characters like Darth Vader or Boba Fett walking around because one is ashes and the other is sarlacc poop.
No, the best you're going to get is Darth Kyle, the Revan wannabe.
Was just talking about this last week, but again, Universal did it right with Wizarding World of Harry Potter. When you're in Diagon Alley and you ride "Escape from Gringott's", you're technically there on the same day that the Trio is robbing Bellatrix's vault (Deathly Hallows; Year 7).
However, you take the "Hogwarts Express" over to Hogmeade and you pretty much experience events from all seven books/movies/years (Hagrid on his motorbike then waving you into Hogmeade Station [SS/PS; Y1], Trolley Witch [All books, but specifically SS/PS movie] the Ford Anglia flying/rolling through the Forbidden Forest [CoS; Y2], Demontors on the train [PoA; Y3], Death Eaters (black smoke) flying in as you leave London [OotP; Y5 and HBP; Y6].
Then, when you get to Hogsmeade, while it's prevalent in a majority of the books, it's most visual in the PoA movies, and seems to reflect that time period. But, wait, does it? Because near the Castle, you have a stage show of the Triwizard Tournament (GoF; Y4). Also, when you ride "Forbidden Journey", you're again taken through scenes throughout the whole series, not just a particular time period, even though you can peg the characters as being around either OotP or HBP time frame. This is especially evident in the queue, where Dumbledore is still alive. I haven't been able to ride "Hagrid's Motorbike Adventure", but I have seen videos, and again, it doesn't paint itself into a corner either.
TL;DR: I'm not sure if it was because of the fear of Star Wars fanatics or if the Imagineers went too far on theming, but Harry Potter has it's own set of fanatics too (me being one of them), and I much prefer that I can experience the whole series (and beyond), as opposed to being forced into a very particular period of the story.