I've actually observed this many times, having lived for quite some time in America and now quite some time in India - not just with linguistic style but also w

I've actually observed this many times, having lived for quite some time in America and now quite some time in India - not just with linguistic style but also with accent (when the people talking to each other cross geographic boundaries). So over the years, I've internally made a (somewhat silly) point to be aware of this and not try and change the way I speak based on whom I'm speaking too.