The distributed binary is just as free as the original binary.
No its not, the original binary with full source code could be modified if it has the full source code available, the secretly modified distributed version does not.
closed source does NOT limit other people's freedoms - they are, as I pointed out, free to use the same original source to make their own derivative
By the same arguments;
Slavery does NOT limit other peoples freedom - slaves might eventually become free man and become slave owners themselves.
so users have the same freedoms I have. If they don't have the skills, sucks to be them but I don't owe it to them to give them my source
If two people are living in a cage, one knows how to escape the other doest, do they have the same freedoms ?