An important point not so far touched on is that elves, whatever their physical appearance, are not right bright. We have as authority for this two of the most authoritative of English writers whose word on any subject cannot be gainsaid. The great Alexander Pope asserted -

"I do not write for such dull elves
As have not a great deal of ingenuity themselves."

This was adduced by the incomparable Jane Austen in a letter to her sister about 'Pride & Prejudice':--" There are a few typical errors. A 'said he' or 'said she' would sometimes make the dialogue more immediately clear; but I do not write for such dull elves as have not a great deal of ingenuity in themselves."

Now the intelligence and ingenuity of Santa Claus (aka by the right- and elegantly-thinking by his true and original name, as in the Mummers' Play, of Father Christmas), as bringer of gifts to all, is surely undeniable. Further proof indeed that he is NOT an elf.