There's "...the only two hosts the venerable show has had" too.
Though "almost exactly" is right, in a sense. The new set is obviously in the same basic style as the old one and everything's in the same place; anyone seeing it, even without the logos, would think "oh, The Price is Right got a new set" instead of "what the blank is this?" Some might not even notice it isn't the old one. They could, for example, have done a steel-brass-black-lucite-and-neon set, with five square doors and no turntable area, Contestants Row onstage between the doors... Relatively speaking, squaring off the turntable area's walls, chopping the feet off the doors, adding a couple more strings of lights, etc *is* leaving it almost exactly the same.
Only it's (almost) all-new.