If we're going to examine the lyrics of each song for patent and copyright compliance, I'm shutting this puzzle down right now.
These songs were not written and performed by automotive engineers or historian. They usually apply the vernacular of their time and location. "Fluid drive" can be used interchangeably with "slush-box" as a generic term for an automatic transmission. Studebaker offered their first automatic in 1950.
And most any car can be "hopped up", by the factory or (usually) by the owner.
So, you can emulate an attorney and let somebody else snarf the point, or you can accept the connection, and accept this puzzle as a game, and add to your already formidable total. The choice is yours