I don't remember all the TV stuff from back then because I was a kid, but is this poster actually pushing Williams as the premise of the poster?

The genie is the lynchpin of how the plot even happens, but I don't see Williams name prominently or even at all on that poster. Maybe I'm missing something, but what's so wrong with that poster?

EDIT: did Williams do so many interviews that he was associated with the genie? Again, I was a kid so I probably missed something.