Oblivion rune stones - summoning daedric armor?

Probably a stupid question, but only played this a couple time, just learned about these stone. One of the types summons a cuirass and blade or cuirass and axe. Last playthrough I got the sword every time while this time I can get it at all, just the axe. Am on a WAY earlier level though than I was last time. Is this level dependent? I know you can use spells to summon an axe way earlier than spells to summon a sword. Do the stones work similarly?
 
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