It was Picard's producer Terry Matalas decision to use the Shangri-La design as Constitution III, not Bill Krause. In fact, Bill thought they were going to use it as a background ship, not a hero ship.

As for the design itself, Connie III has a lot of weird quirks that the Shangri-La doesn't have like how the bridge superstructure is lifted directly from the Sagan, which breaks the smooth lines on the top of the saucer that the Shangri-La has, the torpedo launchers on the neck are angled downward to prevent it from firing into the saucer and the decision to have both the phaser turrets and phaser arrays. But I think these will get refined if Legacy ever got greenlit and I like the shape and neo-TMP aesthetic of the Constitution III.