A difference engine for pre-1914 warship design

How would a working Babbage-Lovelace difference engine have changed hull design before the First World War?

It could accelerate theoretical naval calculations, but high cost, limited availability, and slow miniaturization would constrain its impact.

A working mechanical calculating engine could increase both the speed and volume of theoretical naval calculations. Practical design trials would still be necessary. The high cost of building the machine would probably concentrate access in a small number of national installations. Royal Navy funding and a contract with Vickers are proposed as a route to construction in this alternate history. Putting similar machinery into shipboard fire-control equipment would require a further period of miniaturization.