Too much speculation and personal opinion

I totally misspelled Hymerark.

Eeh...for the frequency point...okay yeah, you got me there, I can't really draw that comparison between Lugh and Jeamiderark and Hymerark.

But I'm pretty sure I can draw a comparison between him and Nuadha. I think such instances where Lugh was mentioned was most frequently him as the Knight of Light. Assuming this is true, like Lugh, Nuadha had multiple accounts of people saying he is "King of the [humans]" and "fighting for the humans" in addition to being the "god-king". Of course, the difference between them is that Nuadha is also mentioned more frequently...so, I suppose, that's why I'm asking now whether three clear mentions of Lugh as a god is enough.

It's not so much the immortality, by itself, that may make Lugh the god - there's still the other parts of the definition of god to fulfill, which I think is mostly fulfilled. It's not like the label of Milletian means Lugh can't be a god, either - some Greek gods, for example, started as human, and in-game Mari was a human too before turning into a deity.