I'm not someone who ever would have suggested either BJ or Roberson for those roles, and I don't imagine you're actually talking about my opinion; it's just some strawman argument. White wants to play the 2, at least get some minutes there. If you don't think that factors into the school choices of prospects, then you're just not paying attention.
I do agree that JB won't play someone where they're not suited. But how many minutes is Battle going to play PG and Gillon sit on the bench - 10 or so? Fifteen tops? That's how much time White will see at the 2, because White and Battle make a good match as guards. Battle with the ball in his hands can drive and score, or kick to White on the perimeter for 3. It's so obvious, I don't see why you keep refusing to see this lineup possibility, and are being so stubborn about it. The kid shot 41% from three in the Big 10 last year and was a 16 PPG scorer.
We already have Roberson and Lydon as forwards, not counting either freshman. They are both going to play at least 30 minutes a game. One is a senior who is going to average a double double this year, and the other is a first round pick. That leaves maybe 20 minutes between both forward positions, if Thompson and Moyer *never* play. How is White going to average more than 20 minutes a game if he *only* plays forward? The math doesn't work.
That's why, if White comes here, he HAS to play some guard. It's math and it's the personnel. We have 3 PGs and no shooting guards. We have 4 forwards. Where do you see the opportunity to get on the court, if you are White? Exclusively at forward, as you say, or is it likely you are going to get some time at 2G? Where do you see your biggest roster need, if you are JB? You've already got 4 forwards and you have no shooting guard.
You have seen JB play many forwards at the 2G spot over the years, going all the way back to the early 80s. It's one of his hallmarks, really. Just like Duke has been a proponent of 3 guard offenses since before it was popular, and liked to fill one of those spots with an athletic guard who could get some boards. It's their way of playing. Just like JB tends to play 3 forwards, a center and a point guard. It's how they view their preferred personnel in a game.