I don't buy it. What you say may be true if some small percentage of customers do it, however if this advice would start to become common knowledge, the amounts on the table change and so probably does the willingness to go after the customers.
Also, this sounds like a great opportunity for privacy.com to have a lucrative side business of bulk-selling the real customer data to collections agencies - or maybe just open up a collections agency themselves. How much do you trust them?