I was recently contacted by the 'other reader' of the book, and he was saying that the organization he was training with would not do the 'collective check at the end of the flare' and insisted on leveling with the cyclic.
This made me reflect that on some helicopters where the CG might be aft of the rotor mast that the collective check first might not be the best way to get the machine level.
So, beware!
The collective check first worked on the machines I've tried it in, but there may be others where it's not that effective.