I think it's clear that the majority of non-bitcoiners, those that we want to onboard, are fine with the privacy trade offs, even when thoroughly explained. Convenience trumps privacy for the typical user.
But privacy isn't at odds with convenience from a user perspective - just the developer. They could certainly create software to provide data without having to know or record user data. For example, iVPN is a great service that is very convenient and private. (They don't know or store anything about me that a VPN provider doesn't need to know)
If we want solutions that are private, then we need to support the developers and companies that actually provide them.