While I was out in the sweltering heat, I thought more about Star Wars.
The core problem with the Star Wars games is that Jedi and non-Jedi share the glory. According to the literature, Jedi have magic powers and beam swords and are, functionally, completely invincible death machines.
To share the stage with smugglers and soldiers and dancers, the Jedi are typically blunted down to mere mortal levels. It doesn't make any sense why their super-cool swords deal 1% of an enemy's health when passing through their head. But it's required if you want to have Han and Leia traveling with a Jedi.
Another obvious option is to go Jedi-only. But this isn't as nice as you might think. The depth of the world relies on being able to make the player interact with details. A smuggler trying to free slaves from an evil Hutt will have a difficult road involving sneaking, hacking, bribing, gathering information, finding allies... but to a strong Jedi, it involves using a laser sword. The solution a strong Jedi always uses.
So Jedi-only is restrictive in that most players won't sweat the details. You lose a lot of storytelling power when your heroes are gods: the only stories you can tell are about gods clashing.
Another option is to give the Jedi another game to play. For example, the Jedi are super-strong, but have to worry a lot about how the Force resonates. A Jedi can carve through the slaver's guard unit without difficulty, but the stink of death coats them in fetid Force. Much better to sneak in, or to let non-Jedi do your dirty work so you only get slightly tainted.
Politics could also be fun. If a smuggler shoots down an Empire ship, well, the smuggler gets a price on his head. If a Jedi shoots down an empire ship, that's an international diplomatic incident...
Anyway, the core problem with Jedi is that, as they are written in the literature, they are too powerful to really immerse the player in the world. To make up for this, you need to come up with a way to immerse them into the world. Since they don't have to worry about how much damage they take from an enemy with a blaster, you have to make them worry about some other constraint that serves the same purpose of grounding them in the world.
Now... back out into the heat, I guess. Whew.