Oh, yeah, heartburn is a major concern for potential lung transplant patients. They have found there are much worse outcomes in people who have heartburn, so one of the criteria at the center Gene went to was that potential lung recipients couldn't have any heartburn. However Gene had horrible heartburn and had had some esophageal erosions and had to have his esophagus stretched a number of times. So they refused to accept him for transplant unless/until he had a Nissen fundoplication surgery done, in hopes of alleviating the heartburn.
One of the transplant surgeons did his Nissen, and while he was in there, he moved Gene's stomach so that he would be able to also accept a left lung at transplant. After that, the tests proved that Gene had no more heartburn, and he was finally accepted for listing (the first time around.) Years later, it turned out that Gene got a single left lung transplant, so he was thrilled that all the groundwork had been laid for it.
I'm also surprised they picked the skin cancer, of all things, to focus on. They probably just wanted to know if it was a fatal variety which is going to bump you off within 8 years. Just in general, one of their goals for lung transplant recipients is that they want recipients to live as long as possible afterwards. Each center has its own running tally for longevity. Gene's center had an 8-year batting average, which means, on average, the lung recipients lived for 8 more years after surgery.
So, if/when they accept you, get excited, because you can figure they have figured out that you have, on average, at least 8 more years left on your warranty! Most people might not figure that's so great, but when you are staring a few more weeks or months in the face, it sounds downright fantastic.