On most things yes, but imagine this, if your data is collected and indexed upon by a super centralized AI system that can work on command, there's no real private equivalent to that which works the same, qualitatively.
But I do get your point, its not a tradeoff for most things. We can have both in most places.
I still think this depends who you ask. Some people will define convenience such that privacy (by some standards) isnt even possible nor desired. I work with several people who have apps that track exact locations for their friends, and their friends can see their location. I consider this an invasion and wouldn't like it. We get into how one even defines privacy. These people probably wouldn't let their friends watch them in the restroom, but don't care about everyone knowing everyone else's location 24/7. They consider this a convenience and probably wouldn't like a device that prevented it or the tracking capabilities necessary to do it.
Most things can be improved, but I don't see an easy way to measure convenience and privacy in a sufficiently objective way to claim that both have been acheived for a person.
Some people will have to undo defaults for conveince, and others will benefit from those defaults for privacy. It's a pretty tough problem for any software.
