Catwoman and King Tut?

In the TV series Batman, he fights two characters who often use ancient Egyptian iconography.

Catwoman often has cat related Egyptian statues in her lair.

The Sphinx is a lion with a human head.

And of course there is King Tut, who always has a very large, very elaborate lair filled with Egyptian art and statues.

I always thought it would be a natural crossover to have both Catwoman and King Tut working together to get some Egyptian artifact.

Or perhaps the two of them could be working at cross purposes to one another, each trying independently to steal an ancient Egyptian themed item with a cat theme.

Here King Tut makes an appearance!  Holy Boy King, Batman!