Why are Lussekatter served on St. Lucy's day (i.e. why cats?)?

In researching [this question](https://christianity.stackexchange.com/questions/54488/origin-of-la-madonna-del-gatto) I got sucked into trying to find a connection between St. Lucy's cats and the Nativity. It got my mind wondering if they even have cats in Sweden, but then I remembered that St. Lucy was from Italy and recollecting Madeline's visit to the Eternal City, I know there are lots of cats there. However what connection this has to do with St. Lucy is beyond me. I know she had her eyes plucked out as part of her martyrdom. I guess I don't see how those rolls resemble cats, they do look like eyes, not necessarily cat eyes. And I think both St. Lucy and cats had an uncanny ability to see in the dark, but she wasn't a cat herself. No saints, I've been told, are in fact cats. Is there some story about St. Lucy and cats that all the modern day hagiographers have neglected or is this just cat by association?