Ok, I want to help too. I've been testing this new RNG on the eevee that Bill gives you.
And I can confirm that this eevee is abusable (I got a shiny one) and is generated as a method 1 pokemon with a starting frame of 3 (not confirmed).
Well, if someone could double check the starting frame it would be great since I am not 100% sure, I just did the save state as soon as I entered the game.
As ClikC (thank you) said the lower right radio station advance the frame by 1. (that's how I advanced the frame)
Also, there is a girl in Bill's house who can advance the frame, but I took the eevee before she moved.
I'll post if I find something new, good luck to everyone who is testing. ;)
Diamond FC:2449 4856 0340
Platinum FC (Battles):3523 9484 6104
New Platinum FC:0174 0292 4963