I have to disagree with that last statement. I grow my corn and peppers in wood chips with no issues. I have grown tomatoes in chips successfully. I switched to straw for tomatoes only because its is easier. Dont need to remove the top layer of chips to plant. My entire garden is covered with wood chips which includes over 50 fruit and nut trees. It also include over 30 fruiting bushes, fruiting canes and hardy kiwi vines. Plenty of veggies too.I know that trees and woody plants need fungus to feed them, whereas green plants like vegetables need bacteria. If you create a great environment for trees by putting down woodchip (such as Back to Eden) your veg won't grow well in that soil as it lacks bacteria.
I believe there is more that particular story. Planting veggies in chips is not the easiest thing to do. The following year after using chips you have to carefully remove the top layer of chips and plant your veggies. You should not mix the chips in the soil. The chips need to stay on top or it will rob the plant of nitrogen.
Chips do help enrich the soil over tme but if you think covering anything chips and your plant will grow healthy it won't happen unless your soil is already rich. You still need to feed the trees, bushes, canes and veggies to their particular needs. Hopefully with enough time of constant chipping you wont need to feed the mature trees but as much fruit that they create I think its almost impossible just to keep them healthy with just wood chips. Only time will tell but I have my doubts since its almost a decade of wood chipping in the front. My soil is sandy so that might be the culprit.
I have layed chips in the back half of the garden for 4-5 years now. I still have to feed my trees. They still get micronutrient deficiencies. The area in the front always does better but not great, only because I chipped that area first about 7-8 years ago but I still have to feed them.
Here are pics of the peppers and corn in wood chips. I rotate my crops so this year peppers in the 12'x26' area and corn in two 8'x8' beds. Chips have multiple puposes. For veggies I use chips just to hold moisture and its free. If I need to feetilize veggies after planting later in the season. I have to remove the top layer of chips to add fertilizer and then cover it with the chips. Not to practical but necessary. Perennials I just layer the fertilizer on top and slightly work it in.
You mileage may vary.
MOD