You make a number of good points.
Part of the problem is semantics...we can use the word “fake” to mean “not real” or to mean “false”, as in “untruthful”. What is clear is that the document released today is “assembled” and not a direct scan of a paper copy of a longform BC as many would assume just from looking at the image. But being an “assembled” document in pdf form doesn’t say anything about the veracity of the information on the form.
Trump forced the issue, a win for him as we all know Obama and his people had to think they were in a tight spot to release this after all this time. But it does nothing to settle the concern over eligibility, and so the debate goes on...
My 'theory' that this is a normal artifact of copiers which include document management and transmission abilities, something which is easy to duplicate by simply printing out the PDF and using a scanning copier to transmit the resulting PDF file to yourself.
This experiment has already been done by multiple people, and I'm sure that more and more people will do the same over the coming days, and get similar results.
This isn't a case of 'fake but accurate' CBS mumbo jumbo, faking a birth certificate and presenting it as real, in any method or manner, is a very serious offense. While constitutional and legal scholars will tap dance around the definition of naturally born citizen, I don't think you could find a one who'd think that Obama would survive impeachment or the senate's verdict if it did come out as being faked.
There is a utter lack of motive here - nothing in the long form proves Obama is a naturally born citizen, but it does create a legal fact who his parents were, and what their age was at the time of his birth. Now for the immigration paperwork for Obama's father...