You won't have continuity (or you shouldn't) between neutral and ground on the machine's plug. You would have it with the machine plugged in as the neutral and ground would be bonded at the panel. But you wouldn't check continuity with it plugged in.
I just checked an electric drill plug for continuity between hot and neutral while pulling the start trigger. It, of course, showed some continuity, but doesn't tell you which is hot and which is neutral. No continuity shown on my meter, neutral to ground, with trigger pulled, as expected.