I like Self Heal, too. (Thanks for the spelling correction) It also tolerates and thrives in full sun, poor soil and with little water. Of course, it does look better with more water. It also attracts pollenators as does my white clover. I really don't have a lawn and never wanted one. I inherited Mrs. J's patch of weeds and have been whittling away at it so that it gets smaller every time I come up with a new idea.
It sounds like you know the "why" of what you are doing, while, I, on the other hand, am just kind of bumbling along.
I do wish I could find a way to keep the wild violets out of the rose beds, their roots choke the feeder roots of all competing plants.
Thanks for the encouragement.
Smiles,
Lyn