i am so sick of the word and concept of mantle I wish it had never been used in any of the stories. That way MAB is MAB ODIN is ODIN. The way it is now any tom dick or harry can be MAB or ODIN
Odin is himself; Kringle is a mantle. So far as we know, there is no "Odin Mantle."
Mab is Mab... but she has the Winter Queen mantle (or it has her). If you kill her, she
will come back (courtesy of the Mantle), unless you kill her at a Conjunction (or using a reality-bending weapon like the Eye of Balor); should you succeed in killing Mab (good luck with
that, BTW!) the Winter Queen is still coming back, as her Mantle likely just elevated the Winter Lady to Queen (if not, the WQ mantle went to Mother Winter, who is likely to take ... additional steps (but also put the WQ mantle back into play)).
The Kringle Mantle is subject to the Queen of Winter, but Odin is not. Odin, apparently, doesn't particularly get along well with Mab... but he does fine as Kringle. It's complicated.