Due to the nature of music related copyright laws, its anyone's guess. What we do know is that copyright exceptions allow for satire (using or changing a copyrighted work to make a statement on society) which this is not, and parody (using or changing a work to make a statement about the work), which this also is not. Aside from Fair Use exceptions, there is ...
From the Simpsons Wiki:
It is unknown why the residents of Springfield didn't dig a hole under
the dome. A possibility is that the Springfield residents weren't
thinking clearly, and just tried to break out of it, rather than
digging a hole, or there was a lack of shovels. However, Russ Cargill
of the EPA ordered death squads to watch the dome's ...