As a trilingual, I would still advise against doing learning a newer language for the sole sake of gaining rationality skills. There are much better and cost-efficient ways to improve rationality besides learning a newer language, which would likely take years, or depending on the language, decades, to fully master.
To answer your question, strangely enough, now that this topic has been brought up, I do have a slight change in personality whenever I switch to a different language conversationally, although I might have to experiment further if it affects whether I am more or less rational.
I do have a slight change in personality whenever I switch to a different language conversationally
It also happens to me.
Interesting new paper (anyone have a link to an ungated version). Abstract (emphasis added):