“He took the Achrayus, now it is his Yeshiva. “
So GAW, according to you, that means that he gets to decide now what masechta they are learning each zman, which talmidim get accepted, who gets to head a new chabura, who should give shiur or be mashgiach, is responsible for the spiritual growth of 6000 talmidim and after 120, his son(s) replace the current Roshei Yeshiva?
If the answer to the all of the above is yes, then he is Rosh Yeshiva. If not, he is CEO.