I'm sure this will help some people - and I agree about not allowing an email program to interrupt you. But the "inbox zero" movement seems to appeal mostly to those who use impoverished MUAs like Gmail. I use Mutt and usually keep 2000-5000 emails in my inbox. Works for me.
I've never archived anything in gmail. I really don't understand why Gmail has "archive" at all, but I guess it's a culture thing that I never picked up... people expect to move emails out of the inbox... I find that a total waste of time that adds anxiety.