I have just enjoyed the challenge of tugging hundreds of waist high weeds out of my garden plot (thankfully with shallow root systems), and the absolute beauty of it? Hip high blossoming heirloom potato plants, ruby red ripe strawberries, volunteer purple kale plants of all sizes, tomato plants up to here :), loose crumbly soil below, basil, sunflowers, and carrots, and so much more, and a mountain of green to add to the compost pile. Plus an hour or so of meditative exercise, and renewed faith in the balance of life.
Yes, some of my grown-from-seed plants undoubtedly didn't make it, but many, many, of them did, hidden and protected by the lush growth of weeds, just waiting to be uncovered so they could stretch their leaves and roots, so they could multiply their blossoms in the freshly opened spaces in between.
So, that's my philosophical take on a weedy garden. I'm not at war with my weeds (and there's still plenty out there ;) and some years are bound to be tidier than others, but like all of the other endeavors in my life, I'm not going for perfection, but for joy (and sustenance).
For me, this year, I declare a wild and weedy garden to be a joy!