Unfortunately it's an old site, and the deeper links within are broken. There aren't any court rulings yet that are directly on point with respect to the question of access. However, if the Government is conditioning press access based on viewpoint, that's immediately suspect, and I would expect the courts to apply strict scrutiny to it.

Apologies, I definitely put the minimum effort into that response. But as you stated, the point is government control over the press tends to raise constitutional questions.