As a sports car owner, I see where you're coming from -- but MANY do not. We are the 10%, the other 90% see their vehicle as an A-B tool, and you can clearly see that displayed with the average, utilitarian car models that the vast majority of the public buy. There will be no "spike" in depression; simply put, there's not enough people that care about their car, how it gets from point A to point B, or what contribution they give, if any, into that.
Maybe they don't care about their car to be a sports car but they surely enjoy some pleasure out of the control of being at the helm of something powerful like a car (even though it's not a sports car)
Also even people in small cars they think a lot while driving already, and they also communicate, how much more productive they could be with FSD?
I really don't think you're right about the average person, or even a notable size of people, believing in the idea of their car being their "frontier of freedom" as was popular in the 70-80's media. I don't think that many people care about driving nowadays.