A couple points....
The purpose of any gasket is to reduce leakage by filling up the small gaps and irregularities in two mating surfaces. That's how they work. Oiling a paper gasket actually helps it seal by softening it and making it more pliable.
All gaskets leak, to some degree. People who do high-vacuum work know that even elastomer o-rings are subject to air diffusion through them. The design of any gasketed joint therefore takes into account the materials to be sealed, their pressure, and the nature of the mating surfaces. Paper gaskets are generally used where the substance is not too viscous and pressures are low. In any case, thought, the gasket does the sealing; a sealer may help, but it doesn't provide the sealing by itself.
I have no doubt that, in many applications, some kind of sealer without a gasket is fine. But the joint and material have to be right for this, and the mechanical and chemical characteristics of the sealer appropriate as well. I wouldn't just use a sealer and dispense with the paper gasket unless I was sure I knew all the considerations, or knew from some other source of information (e.g., other people's experience) that it would work.
I also have no doubt that many of the gasketed joints in our cars are extraordinarily poorly designed, and the amount of leakage from them is pretty solid evidence of that. Still, I wouldn't experiment blindly, even with these joints. They could be made a lot worse, and, after all, would a Sprite have the same charm if it didn't leak? Seems unthinkable, to me.