Depending on your soil's condition, it will better from properly made and applied compost.
Read Instructor Notes when you purchase Soil Stewardship.
How thick of a layer of compost do you recommend putting down? As I understand from the vid, your compost, with a mulch on top, is basically what you plant into later on. I myself cut slits at planting time in the cardboard and plant through the compost and cardboard into the soil, because I have noticed plants can take a while to grow roots through the cardboard, especially if it was put down dry. Any thoughts?