Yes, and it actually makes a sort of sense.
Let's get the obvious out of the way first; the reason the Legends Death Star Plan Heist is so complicated is because of video games; everyone wants to be the one who steals the plans, so we have many different games that cover that.
The original explanation from Star Wars: Empire At War was that the Death Star plans were scattered in chunks that had to be combined, turning the collection of the plans into a complex mcguffin hunt that explains away some of the problems, but really just seems contrived.
You don't need a contrived explanation for why the Legends canon had such a complex story. In fact, I'd argue you need a good excuse for the now Canon story of a single mercenary squad taking the ENTIRE plans out of an external hard drive and transmitting it to orbit, where it then had to be physically carried to it's destination on Tantive IV. (Apparently uploading through shields and scrambling is faster than a local area network, but I digress.)
The Death Star was constructed all over the Empire. The superlaser was designed in The Maw, the Hypermatter core was built by Sienar Fleet Systems, and various other components would have been constructed everywhere else. What the Rebels needed were complete technical readouts because they needed to find a weakness in the system as a whole.
As such, the rebels scrounged up what data they could gather, when they could gather it. This data was spread out in various computers and networks, on the Death Star itself, and apparently transmitted through the Holonet, where some of the plans were "intercepted" by rebels.
I would argue that the Rebels never got the "final" "complete" plans for the Death Star, because there were no "final" "complete" plans. Blueprints for buildings have to be edited and modified as changes are made to the structure; the book Death Star shows that many, many changes had to be made during construction, moving entire hallways and pieces of the superstructure. In fact, the secondary exhaust port that eventually destroys the station is almost edited away by a character!
What Leia gives R2-D2 is the complete summation of what the Rebel Alliance has gathered to this time, in hopes that it'll be enough to destroy the Death Star; she's being captured and it's the only way to get the data down the line. Later, when it's revealed that the Death Star is coming to the rebel base, they need to make do with the plans they have...
...and even those are wrong! The superstructure shown during the briefing shows the superlaser dish on the equator, as part of the trench structure. Luckily, the old blueprints showed the accurate location of the exhaust port they needed to destroy, the port wasn't moved or deleted during construction, and the plans for the engine core were accurate enough to predict an explosion. Luckily enough, they didn't need anything more accurate than that; if they had had to storm the base, or do anything even moderately more complex to handle the weakness, it was likely they would have ended up failing.