GAW (and now Health, since you have joined the discussion) my issue is not who owns or runs the Yeshiva, but who gets the kovod of being the Rosh Yeshiva- the one who actually teaches Torah.
No problem. The Kavod can go to the titular Roshei Yeshiva because they give the top shiur, etc. The power is still in the hands of the real Rosh Yeshiva, the person in charge.
If it makes you happy, Rav Malkiel etc. can be the titular “Kavod Rosh Yeshiva”. The real head of the Yeshiva, who gets the Bizyonos of having to raise funds and the Schar of having to actually run the yeshiva, will be HaRav HaGaon Rav Aaron Kotler, Bizyonos Rosh Yeshiva of BMG. 🙂
Shalom al Yisroel