Homey D. Clown, my good man, it's not really Byrd's decision. The team can tag him again next year, and the 20% jump in pay really isn't as prohibitive as some are making it out to be. He gets 6.9 mil this year, and 8.28 the following year if they tag him in 2014. It all averages out in the 7 mil range the Bills seemingly were offering. If the Byrd man gets that tag again next year, with Byrd being another year older and locked in to another 1 year tender, it would make more sense for him in the long run to take a little less and lock in the long term deal.
Bottom line is the Bills hold all the cards here, and it appears that they're not making unnecessary concessions a la Marv/Russ/Co. during the Nate Clements fiasco.