It's not clear exactly what Cheney is referring to when she says, "Bush used to do it without the cameras."
It's true that Bush's Pentagon continued a long-standing policy of banning cameras at Dover when the nation's fallen arrived in flag-draped caskets from foreign battlefields. (Upon taking office, Obama lifted the ban.)
So that covers "without the cameras."
But as CBS's Mark Knoller reported yesterday, Obama was the first president to visit arriving dead at Dover during the wars in Afghanistan or Iraq -- meaning that when it came to taking trips to Dover like Obama did yesterday morning, Bush never used to "do it" at all.
Here's the audio of Cheney (h/t Gateway Pundit):