I've installed several Service rated Fire Pump controllers with the Transfer Switch built in & they've never been rated for Locked Rotor current.The Code says in 695.3 B(1)
Generator Shall be sufficient capacity to allow normal starting & running of the Motor(s) driving the fire pump(s)
while supplying all Other simultaneously operatered load. Over current protective devives Shall be permitted to be sized per 430.62 (695.4 B )
Now if there was just a Utility service Then I agree Disconnect sized per 696.4 B (1)
The service never has to be rated for LRC just the disconnect switch.
See NEC Code Handbook notes after 695.4(B) Page 1094 .

Yoopersup