So I took up Rick’s idea of adding left and right thruster sounds and found that there was an issue with the current single AudioSource.
When I used the same kind of code as the main thruster I found that I heard just a buzz sound for thruster sounds and no sound for my booster, unless I pushed space and A or D at the same time and then they would seem to play correctly.
I fixed it by putting a second AudioSource component on my rocket. Turns out that my Stop() in the rotation code interferes with my boost sound, and the Stop() in my boost code interferes with the thruster sounds in the rotation code.
I had to use GetComponents which gets an array of AudioSources then I put them into AudioSourceA and AudioSourceB and used each one separately for thrusters and booster. Then everything just worked.