Seems to me different strategies are appropriate for different sites. When I lived in southern Georgia and grew almost an acre of veggies for market, I relied on tillage and mulch. Usually thorough tilling followed by cardboard and paper mulch, topped with some kind of organic matter, mostly to keep the cardboard from blowing away. Openings would be punched through for inserting transplants. Usually this would subdue the grass long enough to get a crop, and all would compost away and need re-doing the following year, unless I decided to rotate that area into pasture or whatever. Where I live now (California) I can't do paper or cardboard mulch, or really any mulch, due to fire hazard issues and the fact that it quickly becomes a habitat for huge numbers of earwigs, pillbugs, snails, etc. A tilling will let me grow a crop for one season, where the grass isn't too bad yet, but it is spreading everywhere there is irrigation, and it can persist for years after withdrawing irrigation from a section. My most serious gardens are in raised beds with metal mesh underneath, because of the gophers, and now I've begun to put plastic underneath too, and just fill the beds with clean compost, to keep bermuda from creeping up into them from beneath.