Well, I chose a close hypothetical that wasn't self-contradictory.
Consider "you adopt the firm belief that you can fly, but your personality would pretty much be the same", the two are mutually incompatible. You can of course insist that we not change the hypothetical in any way, in which case there's nothing to be said other than that it's worthless talking about it beyond noting its self-contradictory nature.
A hypothetical which works: "You are given one billion dollars, but your wealth status is otherwise pretty much the same."
A hypothetical which doesn't work: "You are given one billion dollars, but your wealth status is pretty much unchanged". This is what the comic does.
So you are OK with
You'd have pretty much the same personality as you do now, except for the fear of death, you would care about the same things you care about now, but without the mental anguish caused by being aware of your own mortality
?
If it's worth saying, but not worth its own post (even in Discussion), then it goes here.