"No dig" in Pots

I've often wondered about Charles Dowding methods ongoing? If I cover with cardboard and then compost and plant through it what am I supposed to do when the crop is harvested and I am redy to plant the next crop in the same area? Do I cover with cardboard again and add compost or do I just add compost? Because I have a never ending supply of cardboard and to save on the cost of compost, is it not feasible to strip off a couple of inches of soil and add to wheelbarrow, after which it will be returned on top of the cardboard?

To hypothesise on your query Veggie I would say that in open soil worms would be an integral part of combining the layers of soil and stopping compaction. In a pot, you probably wouldn't have the worm population or any invertebrates to break down and mix the layers?

Would stripping off the top bit of soil count as "digging" because you're disturbing the soil?

Probably, but I aint no purist! I like to experiment and adapt processes. I have a shed load of cardboard and won't buy more compost so just figuring out the best way to use it?