>>>I've GM'd a few different systems in my time and the constant complaint I've heard about Jedi in SW games is that they outshined non-force using characters.<<<
Doing thematic games like this tries to resolve that problem by splitting Jedi off in to their own game.
That means that when you are playing Edge of the Empire, you don't need to worry about Jedi hogging the spotlight because their are no Jedi. And that means you can do all the things you wanted to do but couldn't because the Jedi got in the way.
In EotE, your skill with a blaster matters. You can do Old West style quick draw duels like in The Quick and the Dead and it is important. Your ability to fly a ship and run cargo makes you the coolest dude in the game.
But.
This also means that in their own game, the Jedi don't need to worry about hogging the spotlight of the non-Jedi characters, because there are no non-Jedi characters (or at least, if there are the player is probably just being difficult). That means you can do all the Jedi stuff you always wanted to do but couldn't because of all the whining from the people who are not playing Jedi about how the Jedi are hogging their spotlight.