Reputable shops I more often see do something more like a 'Prepaid' discount where you get X washes (maybe in the next Y months) for Z dollars, and ideally it's something like you get one wash a month at a 10-20 percent discount.
The profit-gouging ones, either do a 'assume 3-4 washes a month to see real benefit' or assume you are washing once a week in their sub... or do all the other 'tricks' above schemes can allow.
But I never see anyone using the subscription car wash in town, so who knows? The new ones connected to the gas station see some action.
As an aside, the entire experience is awful. "Pay $25/month and get as many $8 washes as you want!" ...but I only get a car wash every 2 months and since you're tracking my license plate, you already know that.
These big wash machines are typically staffed by only 2 or 3 people hence the complaints that they don't even create jobs.
That being said, I wish there were more automated washes near me. We find ourselves making excuses to drive by the one we pay a subscription for.