I would argue that zelda 1-ALttP and TP had quite a bit of western influence in design and then the oracles, windwaker, minish cap, fourswords, the ds games and triforce heroes were all straight-up anime. BotW was also arguably anime seeing how its artstyle is very similar to ghibli studios.
Yes, some of them looked quite Anime-ish - especially ones that were made by Capcom. (Minishcap, Four Swords) - but I think there are some subtle difference from Wind Waker and DS ones, which was a bit more universal. Again, at least to my eyes, they looked more universal, than being Anime. It could easily be taken as a design from Italy and France.
I agree that TP was the most western looking one in my memory, and perhaps SS follows the next. ALTTP also looked western influenced design too, but not too far off from the center.
BOTW though, even though it has borrowed some elements (especially character animation itself) from Ghibli - I think Hayao's style isn't a typicial Anime style. It's one of a kind, that I consider something more universal. Only real anime character I could think in the BoTW was Mipha in my opinion.
Then again, my viewpoint is also skewed a bit because I spent my childhood in east asia watching Anime almost exclusively - so probably my point of view of being "universal" design is actually more towards the anime style for many people in the west.
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