In my very middle class suburban neighborhood in Gilbert, you are definitely an outlier if you don’t have a pool. If I look at an aero google map of my street and the street on both sides of mine there are 18 houses out of 91 that don’t appear to have pools. A few of them have so much tree cover that I can’t tell if there is a pool or not so I counted those as a no.
Define middle class here... The median income for 2022 in Arizona is $38k/yr, your neighborhood is most likely well within the top 10% of income earners in the state. Most people don't get that.