I understand the pedagogical example as a stark contrast, but this choice is immediately turning me off the product. Startups and the companies they grow into have spent decades helping themselves to data to track and identify and write clauses into their policies and terms of use to be able to stockpile behavioral data for a potential future "pivot" if nothing else.
We are living in a world where it is more based in fact to assume that companies will help themselves to this kind of information under a variety of pretenses than that they won't. The only reason people will assume differently is if they trust the company, the product and the people behind it. The policy seems to be doing its part, but trust needs to be built by every conversation with a potential future customer. If the question that pops up is "how can I be anonymous if I pay you each month", the resulting argumentation should not be able to be construed as "we're sorry, but we're not going to help be your burner phone", which the comment I'm replying to is toeing dangerously close to.
People search for many things and it could detail their interests, their current location, their financial troubles. The commitment needs to be "we will never, never, never, ever, do anything like this", and not just "it doesn't make sense for us to do this". Because if someone wanted to build in that sort of tracking, it could "make sense" from a business standpoint to do this in that the data, if collected, has a lot of value on the market.
Even if the incentives are indeed aligned to keep the paying customer pleased, we also need to know that if we do walk away, that at that point there will not possibly be anything left as an artifact that a future buyer could do anything with. This assurance will be most effective if it's rooted in trust and values rather than in practical concerns; the practical concerns are valid, but only if they are restraints that have been applied in search of an objective by yourself, instead of "it is not currently in our business plan". (As an extreme example, consider a bank saying "we'd never pick items out of our customers' safe deposit boxes and sell them; it would simply be too much work".)
Basically, the facts seem reasonable enough. But you need to work on not coming off like the parent saying "well I'm sorry you want to hide things from me", which is what unprompted bringing up the covering up of criminal activity in response to questions of anonymity and privacy does. I understand that those concerns do come up in thinking responsibly about a product like this from all angles, but making it a part of a discussion with a potential customer disrespects and denigrates their fundamental needs enormously, the same needs that would make them attracted to the product in the first place.