Exactly!
Just as 'jazz cigarettes' aren't just for mirth-hoovers with black turtle-necks & goatee beards
By-the bye...
The origin of the word "jazz" has resulted in considerable research, and its history is well documented. It is believed to be related to "jasm", a slang term dating back to 1860 meaning "pep, energy". The earliest written record of the word is in a 1912 article in the Los Angeles Times in which a minor league baseball pitcher described a pitch which he called a "jazz ball" "because it wobbles and you simply can't do anything with it".
The use of the word in a musical context was documented as early as 1915 in the Chicago Daily Tribune. Its first documented use in a musical context in New Orleans was in a November 14, 1916 Times-Picayune article about "jas bands". In an interview with NPR, musician Eubie Blake offered his recollections of the slang connotations of the term, saying, "When Broadway picked it up, they called it 'J-A-Z-Z'. It wasn't called that. It was spelled 'J-A-S-S'. That was dirty, and if you knew what it was, you wouldn't say it in front of ladies."
Mr Fender probably had this in mind more that 'jazz music' when he named the Jazz Bass.
Just sayin'