Actually the Iowa class battleships were designed to keep up with the fast carrier task forces. They can make 33 knots if needed. They are some of the fastest battleships ever built.
...of the 1940s. Nuclear carriers can go a whole lot faster than 33 knots. So can the Spruance class destroyers, the Burke's, the Ticonderoga crusiers, etc. The can I served on had a max speed of 32 knots (Adams class), and was pulled from frontline service (Med, IO, etc) in the late 1980s, simply because she couldn't keep up if the battle group had to move in a hurry.
33 knots doesn't cut it anymore. I've personally seen a Spruance class can doing nearly twice that, at 60 knots. No BS. The bow wave was obscuring the bridge, and she was throwing massive twin roostertails. Ships today are absolutely screamingly fast.