Yeah, tomato is one of the plants known to be sensitive to BW toxicity, along with asparagus, pepper, and eggplant. I also had to avoid putting Norway Spruce under my BW, when I planted 50 of them in my back yard. But the Cypress, Hemlock, and Arborvitae all do just fine under BW. Same with my fruit trees, cherry, pear, and peach, they’re all just fine under BW.
There are a few things that don’t like BW, but the list of things that are completely tolerant of juglone is much longer than the list of things sensitive to it. I was just taking issue with the “not many things grow under”, it’s just an exaggeration of the fact that a few popular plantings are sensitive to BW.
http://www.mortonarb.org/trees-plan...re-care/plants-tolerant-black-walnut-toxicity