This is my first year doing a heavily modified lasagna style garden and I will NEVER go back!
I know there are huge variations between what I'm doing and what you're describing --- I am doing no cover crops, for example, but am simply building the beds up on top of the ground, using old straw and a couple kinds of manure (mostly horse and goat).
Our ground here is very rocky (note, if you will, that I live right next to what is called Rocky Mountain :haha: ), and the lasagna modified approach has been a lifesaver for me. The biggest problem is the chance I might run out of my well-nourished straw

, but I do still have a nice barn fairly full of it, as well as a thick layer beneath the straw of lovely soil still inside the barn.
I've heard others comment that they love the paper method --- I do plan on incorporating paper as soon as things slow down a bit --- I just don't have time right now to make that big a shift in what I'm doing.
I think you'll be pleasantly surprised, IOW, and by the end of next season, will be asking yourself why you didn't think of this years ago.