Do the Patriots really need a very good runningback to win the superbowl?

I've heard many people say this. BGE has over 1000 yrds and 13 tds and he missed some games, while Danny Woodhead is another good piece to put in. Yeah, in the last Patriots's superbowl win they had Corey Dillon, but I wouldn't say the last two superbowl winners had a very good RB.