/Film reader DC claims to have more information on the upcoming WALL-E short film titled Burn-E which will be included on the DVD release. 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.
Apparently the welder bot is actually named BURN-E, complete with a logo very similar to the one mocked up by UpcomingPixar (seen above). This explains what Stanton meant when he told us that the short film would be “very connected to WALL-E.” So if I were to guess, I would say the short film will follow BURN-E on his journey to break back into the Axiom.