Your input regarding your personal preference to not use butt connectors is noted, thank you. We do not agree on this issue, and as such, it is certainly acceptable for you to not spend any of your time helping me actually mitigate the problem. While I would prefer that you not, you are free to blame any maladies that I might experience on my choice to use butt connectors, up to and including the accumulation of dead bugs on the windscreen. This is, naturally, not any help, but I do appreciate the attempt.
There have been plenty of online discussions about the preference for wire connection methods, so there's not much point in rehashing them here. I continue to welcome actionable troubleshooting advice on the noise issue.
Considering the suggestion that the noise is coming from a "poorly made connection," regardless of the connection method... If an intermittent connection was the problem, why would the noise be so consistent and repeatable? It happens every time, all the time, the same way. When the screen is on, the noise is on. When the screen is off, the noise is off. If the connection was poorly made, then I'm not sure about why the audio output would otherwise be working correctly. If I'm missing something here, I'm counting on someone to point it out...