The reason this caught my attention is because it is not entirely true.
While Tolkien never directly speaks about myth, stories or Faërie in the book, he does indirectly reference, through the experiences of the characters, what he imagines a good story to be.
'...But I suppose it's often that way. The brave things in the old tales and songs, Mr. Frodo: adventures, as I used to call them...Why, to think of it, we're in the same tale still! It's going on. Don't the great tales never end?'
'No, they never end as tales,' said Frodo. 'But the people in them come, and go when their part's ended.. Our part will end later--or sooner.'