Mark, that's a link to the Medal of Honor site, which contains several errors. It confuses the Medal of Honor with the Congressional Gold Medal.
Neither Lindberg nor Rostron received a Medal of Honor. They were given Congressional Gold Medals. Congressional Gold Medals are awarded by individual Acts of Congress. There is no standing procedure whereby medals can be routinely issued, as with the Medal of Honor, which goes through standard military channels.
Today, Rostron would not be given a Congressional Gold Medal. Under modern guidelines, the medals are given for lifetime achievements, rather than for a single act.
The Medal of Honor is strictly for acts of bravery in the face of the enemy by persons serving in the armed forces of the USA. Some think the rules were bent to give Lindberg a Medal of Honor, as he was a reservist, but the rules weren't bent. He was given a Congressional Gold Medal, as in his citation.
The story is a bit confusing, but I'm surprised at the errors on the site.