Arizona is weird in so many ways.
There are so many HOAs with different rules and regulations. I have granite rock in the front yard. Three huge cacti (Saguaro, organ pipe and something else that's about 30 ft tall) I have Firesticks, Penstemon, lavender, pomegranate tree, shrimp plant, and more... but no grass. In the backyard I have mostly lawn with some trees, canna, my JM, shrubs etc.... and lots of flowers. We have Bermuda, too, Texas, and I overseed with Winter Rye. Am about due in a week or two to have it done (for the first time ever. I usually do it myself but will not again. Too much labor.) Lexie, and my dear departed Bert, love the grass. I wouldn't have a dog without grass.
My neighbor has the lawn Dave speaks of and it's so pretty. If she doesn't mow it for a time it gets little pink, yellow, white flowers from the "weeds". ... she doesn't need to overseed 'cause she waters the weeds and they stay green. Genius!