Allegoric, yes - many fairy tales are either deliberately intended or subsequently amended/interpreted to have a moral or lesson to teach, or an insight to deliver. As to what might be meant by 'mythical' meaning that's fraught - sometimes 'mythic' is used to imply something that may have had real-world origins before it was distorted by subsequent retellings, reinventions and reimaginings.
I'm not sure anyone suggests that religious tales have no profound allegorical lessons - some might dispute which lessons remain valid and which are a product of their time - but the key point is that there's no reason from the stories themselves to presume that they should be treated as a different class of work from fairy tales.
O.
Indeed I mentioned the allegorical aspects of religious stories, upthread.
I think the issue here is that fairy stories, myths etc don't claim to be literally true, whereas people do claim religious stories to be literally true. That is why I (and I suspect many others) have no problem with tales of myth and folklore and enjoy and learn from them in terms of allegorical message and the insight they provide to ancient cultures and societies. Yet I do have a problem with religion specifically as they often claim as literal truth fantastic and incredulous events, without a scrap of evidence. Drop the claim to actual truth and accept the claims of religion to be myth and stories which may have useful insight and you'll gain far more acceptance.
The difference between myth and religion is that people typically no longer believe the former to be literally true (although they almost certainly did once). In due course, no doubt, people will talk about Christian myths in the same manner as we talk today of Greek mythology.
