You would think but it wouldn't surprise me if Reid thinks he can turn Geno Smith or another QB into the next big thing. I'd sign Smith for 2-3 years and grab a QB in the 14 draft instead.
Smith gives them a chance to win a few more games but he's not the answer to any championship. If I'm Reid I'd take Geno. Has has a lot more upside and a good head on his shoulders. Also gives KC a new look and something for that franchise to build upon.