True, modern Photocopiers are not really Photocopiers any more and just a pc with scanner and printer. Those could be described as "thinking", in the same sense as any computer is thinking. But from my understanding, the original comment was explicitly about a pure copy-device, without any "brain" involved.

That has a logic condition, no?

Not sure what you mean - there's a pattern of dots (the EURion constellation) on the banknotes of a number of countries that photocopiers recognize and will refuse to copy.

I could have been more descriptive, but yes, exactly what you described. The logic of: if i see this exact pattern, refuse to duplicate or make extremely apparent it's a fake.