Depends on if that it the whole plot, or if it is the "happy bonus" to the plot. The story being about the Rebels taking it to the Empire for the first time with a chance to win big. A war movie in space. During that battle they find out about the Death Star and that plans are basically right there in the local computer. They just need to download them and fight a way to get the data off planet to someone who can use them. That would be were the Empire comes back and nearly ruining everything. The transmission being about to get out just in time. The lack of any Jedi would be keenly felt if Vader shows up. Or even an Inquisitor. Actually they don't even need that. Just the huge numbers the Empire has makes the lack of a Jedi quite painful, as Jedi are known to be able to take on huge odds and not only survive, but also win. Legends of the Clone Wars would be all the characters would need to know that much. Where two Jedi could take down armies of battle droids and personally defeat tanks and the like with just a lightsaber and the Force. (This is almost true. Most of the time the Jedi had Clones backing them up).