I was last at HHH in December 1996, when I did a small job there. By that time it had been sold off, and was in fact already in the hands of its second private owner. Probably thriving once again by now, I should imagine (and knowing the owner concerned).
And, being built like the proverbial BSH, it will probably still be standing once the Al-Fanateer has crumbled to dust (sand?)!
BTW the G-150 was still going strong the last time I passed by (it would have been at about the same time). A nice hospital, that one (and with an "interesting" early history, of course, and as we know)! But there again, I liked all those little G-series hospitals.