What a great way of explaining things! As a sort of half-assed polyglot, I think I have long understood your premise intuitively. I feel like a different person when I think in French than when I think in English. I even think my personality shifts ever so slightly.
German and Russian each make me feel different when I’m reading or thinking in those languages. People have scoffed at me from time to time when I’ve explained these feelings, so I’m glad to see that there are people thinking about the phenomoenon, and even coming up with vocabulary to describe it.