I agree with the above.
The advantages of an immediate APU start do by far outweigh the slight probability of your batteries going dead on short final in IMC. This usually is the first command even outside the checklist when in the sim with an engine failure (or two, sometimes...). Get back redundacy, and if both have failed, restore as many systems as possible to normal ops to avoid heavier workload. With the press of two buttons you have very good chances to get back pressurisation (not an issue at the Hudson, of course), and enough elec to run the hydraulic pump(s) and get CM2 his instruments back.
Nic