Do you have a source for this? Wikipedia says he did, even more curious about changing the call sign story:

> Outgoing President George W. Bush, outgoing Vice President Dick Cheney, former presidents Jimmy Carter, George H.W. Bush, and Bill Clinton, and former vice presidents Walter Mondale, Dan Quayle, and Al Gore, along with their respective wives, attended the inauguration...

https://en.m.wikipedia.org/wiki/First_inauguration_of_Barack...