Being strict in terms is nowhere close to that. They can't scrutinize your data, because they don't possess it in the first place:
We neither require registration nor store logs. Once the mixing is done and transaction confirmed, the data on processed transactions is deleted. Following up to 7 days during which we expect to receive your deposit, the data also gets erased.
Is their source code auditable? Otherwise, it's an unverifiable claim. PureVPN also claimed they didn't keep logs and then went on to help the FBI arrest a hacker using their service. Trust, Don't Verify is the opposite of what you're supposed to do.
Jambler is an investment-based mixer, where users can choose to provide liquidity and take a commission from mixing. It's very reasonable that they analyze the blockchain to prevent an investor from clearing their money and gaining profit at the same time.
As an update to my little friend Kruw, who's really interested in the integrity of the services we advertise here, I've changed my mind about Mixtum after a conversation I've had with my campaign manager, and after a thorough research of mine. It's very likely that they're having strict terms to avoid sanctioning as they are considered money transmitting service.
As for your insistence that Mixtum is a blockchain analysis company: that doesn't even pass the laugh test. Someone who does blockchain analysis doesn't mean that's their product.
I don't see how doing thorough research suddenly makes blacklists and censorship "reasonable" after incessant pearl clutching and preaching how those services should be avoided.
As a money transmitter, centralized custodial mixers are legally required to maintain records, respond to law enforcement requests, report transactions over $10,000, and file reports on any suspicious activity. The semantics over whether a for-profit business analyzing the blockchain with proprietary algorithms is a blockchain analysis company would be the least of my worries.