Harry is definitely the crafting type. He's not lame enough to be Hephaestos (though he was for a short bit at the end of Changes), but he does spend an enormous amount making all his gear.
If we're going for a Greek mythical connection he frankly fits Athena quite well, who was patron of crafters in general (including the famous weaving contest with Arachne). And also, when need be, able to kick ass and inspire her heroic allies. Though Harry does have kids...
Of course, Lash served a role quite close to the role Athena had for Greek heroes as advisor. Which convinces me even in the obvious mythologies Harry is a mashup character, not a direct analogue for anyone.
