I dunno, I think some typings are more subversive than others.
Spiders go fairly well with two of the four classical elements: Earth, because they're creepy-crawly, and Wind, because spider webs have that wispy ephemeral aesthetic (and also because of ballooning). Water is a fresh approach, but still intuitive if you remember that some spiders do swim.
In terms of less orthodox elements, I think spiders go well with Nature/Plants/"Green" but can't articulate why. A Lightning Spider may as well happen - though you can make it more meaningful in a modern setting if you compare a power grid to a spider's web.
Spiders don't pair well with fire. If the memes are to be believed, it's their natural elemental nemesis. That said, I guess there's nothing fundamentally wrong with a Fire Spider. Same with Ice - I guess I can see it, but it's not their natural element.
That raises the question of which element is most natural to a spider, and the answer is simple. In the public view spiders are creepy, so they would most naturally belong to a creepy element - Darkness or Poison or Death, depending on what's available.
Therefore, I posit that for a spider to play against type, is has to be associated with a good, wholesome element. Light and Spirit are excellent choices, especially when they're the overarching "good" elements, because that frames spiders as pure and/or holy. In terms of popular narratives, a lightning tortoise is an oxymoron, whereas a Light Spider is a statement.
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