It takes about an extra season for a lasagna bed to hit full stride, but after that the differences should be minor.

I lasagna layered my leaves, coffee grounds, cow manure, peat moss, and mushroom compost. The first year, I accidentally grew a few tomatoe plants from suckers I dropped in the bed. The second year, I added vermiculite because the soil was thick compared to my typical square foot beds. It works because you are basically composting in a raised bed. To me, the vermiculite really makes the soil lighter.