Well, I was only a US Army helicopter crew chief for 6 years, so you'll have to pardon my ignorance. That ceiling is at just about max gross weight. I seriously doubt that the Hook shot down was anywhere near that. 1 person is figured at 250lbs for weight and balance purposes on Army aircraft. 36 troops=3 in cabin, 33 in rear. 36x250=9000lbs+25,000lb empty weight=34,000lbs. Even assuming a full fuel load and estimating 2,000gal*7.0 (approx)=14,000lbs. 34,000+14,000=48,000lbs, still well below the max gross weight. I seriously doubt that ammo, guns, etc weigh more than the 6,000lbs that would put it over the top. Just my 2 cents.
The whole point is still moot though. Army aircraft do not regularly fly anywhere near that high unless they have to for weather or some other reason.