What exactly is Link saving in Termina if technically it does not exist?

[Ryuu Kage Desu]

I think the commonalities between Termina and Lorule are to major to ignore. If Termina is a part of the Lorule realm/world/side-of-the-rift, which I believe it to be, then not only does it further the idea that Termina is real, but it shows what happens when link wasn't there to stop Majora, being that the games are in alternate timeliness.