No, it literally doesn't. The further back they are means the Bills would be closer to the opponents end zone when they get the ball back. Thus less yards to gain.
Alas, they wouldn't get an early third. If the team is picking early 2nd, they're not giving up a 3rd to go up 6, 7 , or 8 slots. Maybe a 4th with the Bills send ng a 6th or 7th back.