Awesome encouragement @alchemage. Thank you!
I've been practicing this in both my own yard and my life. :) When we moved in, nothing would grow. Living in the desert, previous owners must have sprayed a lot. As the weeds started coming up, I'd just cut them off before they formed seeds. This left the roots in the ground to add nutrients and capillaries. Now, after 4 years, we have tons of growth, and we regularly enjoy a wonderful purslane "weed" this time of year. It grows like crazy right now.