In theory that is probably true – in my actual scenario I can't run them through ABBYY again because of the limitations of the bundled version. It only accepts PDFs coming from the scanner software, so running these through ABBYY again would give me an error message. I'd have to buy the full version to be able to try out that workaround.
On a totally not entirely unrelated note, I have found ExifTool[0] to be quite useful for many tasks. Especially in combination with a bash alias or simple Automator action, to be used in the services menu, or as a droplet or folder action.
[0]https://exiftool.org/TagNames/PDF.html