Agreed, although the relative importance and value of the two is quite different.  English immersion is necessity and highly important for anyone living in the US, worthy of mandatory policy for non-English speakers attending US schools (as opposed to bilingual education which is just a bad idea).  

Having other students learning a 2nd language (other than English) is a nice extra, but it's far from the same level of importance.  And just hearing it from another student is far from the best way for it to happen anyway.