A highly fluent student of mine used this phrase, not necessarily something I'd teach, to describe me after I mentioned in one class that I am an avid user of 白花油，萬金油 and various other aromatic, camphored oils, that one room of my apartment is decorated with Hakka flower fabric, that I go to temple parades regularly and actually try to keep track of where and when they will take place, and that I regularly brew lao ren cha at home.
I thought about it, and realized that no, he was not quite correct. "Going native" implies that you're acting and thinking more or less like everyone around you instead of knowingly sticking out and staying somewhat separate. But how many Taiwanese people do you know who use White Flower Oil, decorate their apartment with Asian textiles (not just the Hakka fabric - I've collected textiles from around the world - mostly Asia though - for years), make tea that way and actually follow those temple parades as a hobby? Some might do many of those things, but at the very least, I don't know many people who would decorate that way: it may look Asian, but deep down, it's super-duper-foreign-tastic to do that. Well, not the oils. Using them is totally common.
I joked that if I wanted to "go native" for real, my apartment would have white walls and a tile floor, bare walls save for one red-and-gold calendar with a fat Buddha on it, a round table with metal legs and some chairs, one of those wicker stools that's lacquered heavily, to the point where it's orange-yellow, a blue or black vinyl couch with lace doilies on the back, a flat screen TV attached to one wall, and a yellow wood over-lacquered side table topped with thick plastic that's a bit old and discolored, topped with one of those purple orchid plants (fake would be OK). I'm joking, but...you know. Not really joking.
Or, if I had money, I'd decorate it in a Hola Casa (ever been in that store? Furniture sets for the jet set) purely Western, white-leather-and-dark-wood style, not a trace of anything "Asian" anywhere.
And I'd pay little attention to temple parades, but a lot of attention to TV, although watching a lot of TV is hardly relegated to Taiwan.
And I wouldn't drink traditionally brewed tea, I'd drink lattes (I drink those, too, for what it's worth).
And, in the end, the very things that might cause one to believe that a foreigner has "gone native" are in fact the things that have caused me to stick out.
Or, as one friend put it, "Even if I didn't know you, if I saw this apartment I would say 'foreigners live here'."
"Because it's too Chinese!"