But doesn't it imply that the only way to not be the product is to be the customer? In this case, we see that being the customer is insufficient to not be the product.
No, being a product or a customer stand in no relation to one another. You can be neither, either, or both. If you don't want to be a product, you have to work on that, not on being a better customer.
Every app these days requires your unique and unchanging advertising identifier to log in. You can’t get an Apple ID or Google account, or order a pizza or make a dinner reservation without it.