I can confirm that in South America, the term 'Gallego / Gallega' was (and maybe still is, I'm not sure on that bit) used to refer to any Peninsular Spaniard. I think the idea that their culture is more Celtic-influenced as anybody else's in Western Europe seems to be a modern invention based on the fact that they're on the Western seaboard of Europe. Their language is definitely Romance. But I wouldn't say those last two sentences on a dark night in Vigo
