M-W says
anything but
idiom
: not at all
He looked anything but happy.
**Though he said he was happy, he looked anything but.**
This problem is anything but new.
Is the highlighted example actually
Though he said he was happy, he looked anything but happy.
Is the part after the phrase omitted, because it has appeared earlier? This isn't uncommon with the phrase, since the following part is often mentioned earlier to allow the phrase to create a contrast, correct?
If using the opposite phrase "nothing but", is omission of the following part much more rare, because the following part is usually held back and emphasized by the phrase, and therefore much more rare to be mentioned earlier than the phrase? Could you give some examples where the part following "nothing but" is omitted?