This was the original tagline of Mule, way before Gartner has popularized the ESB
term.
At this time (2005), Mule was built around the notion of Universal Message Objects (UMOs) and, as such, was positioning itself to become a scalable, distributed container for these UMOs. Hence the "highly distributed object broker" terminology.
After time, the object container aspect of Mule has become less important than its pure integration capacities.
Moreover, it's harder to sell an "object broker" to a C-level executive than an ESB. So this whole terminology has now been brought back in the shadow of history.