My plot is basically two beds with a narrow path in the centre, each bed is approx 10 x 3 metres, so 60 sq metres total. For a no dig philosophy, I'm guessing that's an awful lot of compost or manure, especially if you have to go at least 10cm deep with it. I struggle to get the amount of compost I need to just do a small patch at a time each year, which I then leave and dig in spring. Also I'd have to hunt down a lot of suitable cardboard each year.
I have a 'Dalek' compost bin, which to be honest doesn't yield an awful lot each year, even though I top it up with kitchen waste and cardboard and paper etc every other week. It never seems to accumulate in any usable quantity, just shrinks to about 6 inches high. We have fresh horse manure delivered to the site, but to get that from the tipping point to my plot to cover only 3x3 metres, as I did this year, was really hard work, much harder than digging, and that's on sticky clay soil.
So I'm guessing no dig is only useful on smaller plots, or individual beds?