The problem is not the association to "plane explodes", but to "sonic boom", one of the major reasons why supersonic aircraft never became popular.

It's a given that this is the entire point of the name: "Boom Supersonic" is just a cool-sounding (depending on your taste) play on "supersonic boom." It's not like the inconvenience of supersonic booms was some secret negative connotation that whoever named Boom Supersonic didn't know about.

I agree, and it is a memorable name for this reason, which has probably helped them so far. Still doesn't seem like a good idea to me, though.