Well I don't know, we live in strange times. Birds adapt. I suspect it was a big seagull of some sort and it seems seagulls have learned to eat just about anything. Certainly I've seen sea gulls flying over the tallest of buildings in Winnipeg.
But, I wouldn't dismiss Mr. Marks' claim out of hand. He saw what he saw. He said he "thought" it was a peregrine falcon, not he "knew" it was. And I'd suggest, given that the bird subsequently brought its own prey to the balcony to eat, it may well have done so many times before. Who knows, perhaps it has or has had a cache there, in which case I'd think a raw pork chop might be indistinguishable from any other dead meat.