indeed, one of the Litvishe Rebbeim of the previous generation called some of the “litvishe” yeshivos – as litvishe teachers of Hungarian students. By now, it is Hungarian teachers teaching Hungarian students zecher l’Lita…
Btw, I am not sure why you spell them/us with F. Litvaks are mispronouncing Sh, not V! According to R Twersky, two Yidden in 1920s were negotiating a border between Russia and Lithuania (representing corresponding countries). They thought of going thru shtetls and asking them to recite Shir Hashirim. The ones that say “Sir haSirim aser leSlomo” would belong to Lithuania, the rest to Russia. (Maybe we need 2 people like that for Russia-Ukraine border now).