If the NYT tried this here, I'd just revoke access from my bank account, assuming they even had any. There is probably also a law specifying how to unsubscribe, but I can't tell how it works in the Netherlands.
UPDATE: Thinking this through, it allows us to put a monetary value on consumer protection. Much of what the apple 30% tax gives you as a consumer is built into law. So assuming a more reasonable cost of say 5%, small time devs get a loss of 25% of income because of the state of payments and consumer protection in the USA. You can haggle over percentages, but there is a cost.
Nitpicking: Apple takes 15% from small time devs (less than a million $)
The law here in the Netherlands is that you must be able to unsubscribe by the same method you subscribed in the first place.
Snark aside, I do think you're going to require some sort of hold/guarantee from the developers to apple if you want to force that sort of relationship.
I've had much more luck with apple than I have with "developers". NYT is the textbook example that comes up here. You can sign up in one click but cancelling still requires phoning them up.
It's also analogous to a physical store; I don't ask kellogs for a refund if my cereal doesn't work, I ask the grocery store.