Yeah, this logic is used often in epidemiology, and this thought comes to my head every single time.
We also don't probably know all the possible heart conditions out there!
Finally, while someone might not have a condition (disease), they also might not have good function of the heart, this is not considered a pre-existing condition. This tends to happen with people who are overweight, leading to arteriosclerosis, but since the norm has moved so far in one direction, our criteria for disease might have moved as well.
Finally, the lungs and heart work in coordination to bring oxygen to the rest of the body. If the lungs stop functioning (which may not have direct symptoms that we expect)... I think it's pretty easy to fill in the rest.