It's also funny to see how people take everything these characters say at face-value.
Vader already saw through Antilles' lie even before there was a Rogue One. He wasn't fooled for a moment, even in 1977. He KNEW the plans were on board the Tantive, so Rogue One didn't contradict this, it only affirms it.
And what would you expect Antilles to say? "Yep, it's a fair cop. Princess Leia has the plans, it's her you want." Dude was brave enough to try ********ting Vader. Also, he was buying Leia some time.
It's kind of awesome when Vader and Leia are arguing about what's going on, because she knows that Vader knows she's lying. She's just putting her faith in the senate and hoping that Vader hasn't got any conclusive proof about her involvement.
Also, you would tell whatever lie you can. Why admit you have the plans? They are just just saying whatever they can to not lead Vader to the plans.
So you and your crew rob a bank, and the cops arrive in the middle of it, and the head cop kills quite a number of your crew, but you manage to leap in a car and drive away as the head cop watches. Then, about five minutes later, that same head cop pulls you and your remaining crew over - in the same car he just watched you get away in - and you say....
"I'm just a cab driver, and I'm taking these people to the grocery store..."
And with the Leia scene - so Vader knows she's lying, she knows that Vader knows that she's lying, so... what's the subtext/point of the scene then? Vader knows, Leia knows - and worst of all WE know.
And "conclusive proof about her involvement"? He just physically watched the disc get handed through a doorway into her ship, and then her ship speed away. And this scene is taking place what - ten minutes later?
The main issue, as TonTon points out, is that all of this is in ANH is a bit of a waste of valuable screen time now - and it's a bit silly to see both Antilles and Leia saying it. To some extent, even the opening Tantive corridor battle is a waste of screen time now. I mean we've just seen the brutality of Vader himself (with lightsaber no less) storm a Rebel ship, killing Rebel fleet troopers in droves, trying to get the DS plans... now we get to watch some soldiers storm a Rebel ship, killing Rebel fleet troopers in droves, trying to get the DS plans... just a few minutes later? (and yup, even this second attempt is also a failure - nice going, Vader you doofus.)
And man - do those DS plans get a major workout now when you watch RO and ANH together... it becomes like a macguffin relay race.