Just throwing in two cents here, but three seasons ago one of these guys in our world actually signed. Best position player on the board, "probably won't sign", mother was his consultant. Even stranger, he didn't counter what he was offered, he settled right away. Must have been one in a million and he absolutely surprised the owner who got him. Been tearing up the minors ever since, career OPS 1.289.
VERY unlikely, but all I'm saying is I've seen it happen.