I am on Linux, so I don't have the adobe reader.
I repeat the test now: Evince, Atril, Okular, FoxitReader, firefox. All behave the same, 5 pages, counting 1 to 5.
I have a virtual machine with Windows and Adobe. Let's try. [...] It took time to try, but managed it, same result.
I hate adobe reader, it asked twice to make it the default handler for PDF. I said no when I installed it, and repeated "no" today. This is insulting.
Displays an empty box or frame in a document. None of the Linux PDF readers handle Javascript, probably intentionally, it is a security problem.