It could have happened as early as over 30 years ago when these people probably installed a brand new Xerox microfiche system.
They have been fairly cagey about what they use as a record these days ~ is it a microfiche image or is it a piece of paper. I suspect they imbed the existing microfiche image into the body of a new digital document to create the output document they pass around as the Long Form Birth Certificate.
Here's another thought for you ~ over the very long period of time since the document was created (1961 to present) the paper/cardboard/cardstock whatever you want to call it has been subject to humidity and heat, and then dried out, and pulled, bent, folded, and stuck back in.
What do you imagine all that stress on the printed page does to the finer details of lines and curves in the letters on the page?
One of the more intriguing Bible recovery operations is taking place at an ancient abandoned toilet in Egypt. For a variety of reasons folks took old paper from old books, used it, and tossed it into the toilet. Those old books were actually old Christian and Jewish scriptures.
I suppose being embedded in urea helped preserve the documents. First thing though is that almost all the writing was invisible so they had to 'bring it back" with electronic tricks and no doubt "magic" eh. And they did.
The lesson is TIME IS NO FRIEND OF THE PRINTED WORD.