ProtonMail is a service lauded for its commitment to privacy. It’s a particular favorite amongst journalists, as it can be used by whistleblowers and the like securely without fear of revealing their identity. However, ProtonMail was recently compelled by Swiss authorities to release the IP address it had logged of a user, though it had a good reason.
Any webservice or page is required by law to give access to a user’s data, if there is a court order, if it does not, it runs the risk of closure and the accusation of the owner for hindering justice.