Oops, you're right. You do still have to make that statement under penalty of perjury that has never, to my knowledge, been enforced, about representing the rightsholder and having a good faith belief that something is infringing.
Sorry my statement was so terse. After getting some much needed sleep and rereading it, I most certainly could have written it better/nicer.
Bogus DMCA take-down requests from unknown/anonymous/incorrect entities are actually a significant problem. It would be nice if you were right and only lawyers could send such requests (and risk being disbarred for intentionally misrepresenting facts). Sadly, any anonymous nut-job can send DMCA take-down requests for any reason, and like spam, they can get away with it. I've seen no cases where the stated "penalty of perjury" has actually been prosecuted.
