> I've spent just enough time studying that language in the last few months that I am calling it "Zhongwen" in my head and find it hard to write "Chinese" instead of 中文.

I'm rather curious about this actually - do other bilinguals experience this? I first acquired French as a child and spent several years taking formal French lessons, and yet I simply call it French when I think, speak or write in English. A learner finding it hard to write "French" instead of "Le français" in an English sentence would come off as more than a little overzealous to me.