To be a bit clearer about this.
The only password that provides strong protection is the password that you can set for opening the PDF file. That password is used to encrypt the PDF file such that if you don't have the password, a program reading the PDF file that doesn't have that password from the user cannot access the contenst of the file at all.
The ability to change the protections for modifications, printing, copying, etc. are controlled by a password, but that protection is only as good as the applications processing the PDF file. Adobe's PDF applications including Reader and Acrobat do obey those restrictions and won't let you change them without knowing the password. Regrettably, there are other applications that simply ignore the restrictions.
PDF is an ISO standard, not an Adobe standard and as such, we cannot control what mischief other vendors cause.