In Turn the Page, things are decidedly goofy - Washu/Tsunami/Tokimi are the *mothers* of the original incarnations of the Norns, so let's not talk about that - besides, Paradox has an active Persona in that universe, so that excludes any other character from one of my fics too. 
Now, looking at the pure Tenchi OAV?
Paradox is *not* an analogue to Tenchi. As for the Three/Norns correspondence, I'd say no, simply because I don't think they're deities, just ridiculously powerful beings.
--
Christopher Angel, aka JPublic
The Works of Christopher Angel
"Camaraderie, adventure, and steel on steel. The stuff of legend! Right, Boo?"
Now, looking at the pure Tenchi OAV?
Paradox is *not* an analogue to Tenchi. As for the Three/Norns correspondence, I'd say no, simply because I don't think they're deities, just ridiculously powerful beings.
--
Christopher Angel, aka JPublic
The Works of Christopher Angel
"Camaraderie, adventure, and steel on steel. The stuff of legend! Right, Boo?"