For using apps in general you need to agree with an EULA, which can be upheld, otherwise EULAs wouldn't exist.
Of course you can't sell your soul in an EULA and there's always this gray area where users might not be held accountable for selling their souls with a single click on "I agree".
But you're saying that copyright law refers to distribution, but well, you can't have that binary distributed legally unless you agreed to that EULA. And if you haven't agreed to that EULA, then by using the app it's copyright infringement.
The other problem is that most users won't be able to crack their own binaries and distributing or even downloading cracked binaries from the Internet will be copyright infringement.
Even so, lets assume that an easy to use tutorial will be provided, such that somehow users aren't violating any laws. Well, this is why the industry is pushing for DRM, which ends up getting used not only for encrypting media, but also for protecting binaries. And in some parts of the world it is already illegal to crack DRM.
And if not, I see the industry winning this argument and pushing for legislation protecting them, because truthfully they can point to people that crack binaries in order to freeload and pirate stuff for free - even if such arguments will be morally and factually wrong, they'll win by those arguments with the right lobbying power being exerted. It has been happening for some time now.
> You have the right to do whatever you want with the bits on your computer
Sure, if you don't like how the Facebook app works, you can choose to not use it.
There's no way you can package this argument as to make it right.