/Film reader DC sent into the site some more information on BURN•E.
In the feature film there is a sequence where Eve and WALL-E fly around the Axiom Starliner, and enter through a door locking a poor welder bot on the outside of the ship. The bot bangs his fists against the door after he realizes that he has been locked out.
says the article. /Film adds that bot is complete with a logo akin to our mockup (pictured). Read the article to see what /Film’s Peter Sciretta thinks the short will be about.
UPDATE: An anonymous comments points out that BURN•E can be seen in the "A Space Journey In Sound" featurette quite clearly at about :58 seconds. 
On the featurette that showcases Ben Burtt’s sound design for the film, “A Space Journey in Sound”, at about :58, you can plainly see the “Burn-E” logo on the welder bot outside of the Axiom. The typeface is identical to Wall-E’s logo, but there is no Red Dot and white letter for the “-E”.
dc