Cross-threading to lyrics... in the film Hans Christian Andersen (I [heart] Danny Kaye!), the lyrics to The Emperor's New Clothes play on that very theme:

First, when everyone is going along with the emperor:

The King's new clothes are altogether, but altogether, they're altogether,
The most remarkable suit of clothes that I have ever seen!

Then later, after he's been (ahem) exposed:

The King is in the altogether, but altogether, the altogether,
The King he is as naked as the day that he was born
...
It's altogether the very least the King has ever worn!

And back to the topic:
Another one I thought of... sanitorium vs. sanitarium