The first account claims that lymphedema does not go into remission. A simple google search refutes this; spontaneous remission of lymphedema is well documented.

The second one doesn't even state what the man's heart recovered from.

Accounts of miracles tend to systematically overrate their significance, when they're not made up entirely. I'd say the rational response is to assume one or the other is going on when you hear such an account. Knowing nothing about lymphedema as a medical condition, I was able to predict in advance that the claim that it does not go into remission would turn out to be false, on the basis of my experience with other miracle claims.