Permissions are part of the PDF file and do not change. But as Adobe very clearly warn some third party apps will ignore the permissions.
The PDF standard is open - this is why there can be many different apps to read PDF files. This open standard includes instructions for security, that some developers ignore for various reasons, including a dislike of the whole idea that you should be able to protect your files. Complain to the app makers.
So we have no chance to protect from copy and print our great number of pdf files , what we have to give to inquisitive partners to read and only read?!
Using standard document security, you cannot achieve any real protection.
In fact, if you let people view a file there can be no real protection. It does not take much skill to view a file and take screen captures or even photos of the screen. With not much less skill, the screen shots can be reassembled for any purpose. Everyone with intellectual property has had to face the essential lack of real copy protection, from the beginning author to Disney and Sony.
Having said that, Adobe do offer DRM, which controls who can open a PDF. The price of this, as well as money, is that this must naturally lock out all the non-Adobe PDF viewers, which consequent inconvenience. I also suspect that they don't work on tablets and phones, which is not a trivial issue. Interested: LiveCycle Rights Management.
Info: Every file on the Web can be copied.