OK, here's a simple case. State A has been running 1,000 cases per day. They lock down and cases drop to 100 per day. 66 of those 100 are from those not essential workers. Does the 90% drop in cases, but that 66 people not deemed essential workers still got infected, prove that lockdowns had no effect?
Of course not and anyone drawing that conclusion based on the demographics of the 66 is a complete moron. But that's what you did.
Furthermore, here's a little one question quiz. Since the spread of COVID is based on contact with other infected persons, would you expect the risk of infection and spread of the disease to be greater in which area:
1) Region 1 with a population density of 5,318 persons per sq. mile, OR,
2) Region 2 with a population density of 378 per sq. mile.
If you answered 1), you get a gold star and a pat on the head from your teacher. Now guess where the biggest outbreak in the United States was? (hint: it's the NYC metro area, option 1 above, and not in Florida, option 2 above)! In fact the city in the U.S. with the biggest outbreak is the most densely populated city in the U.S. at roughly 27,000 persons per sq. mile. Guess which city? NYC!!
So since you're interested in "science" and all, do you think maybe that population density explains some of the numbers you are quoting? Obvious it doesn't explain everything, but it seems to me that accounting for population density in evaluating cases, spread, impact of policies, is kind of a key step, unless you're an ignoramus or a lying propagandist.