I really appreciate the time you're taking to help me.
I've already done the push test, with a piece of plastic and the noise goes down when pressing on the transformer. Video
https://youtu.be/Qum-kFvCtwII thought it was coil whine as well. But that doesn't explain the voltage drop when under load. The power supply should be able to detect low voltage and raise duty cycle to compensate for additional load. However, I'm hesitant to connect scope to other parts of the lower voltage side because I'm not confident in my understanding yet, I think that connecting the ground of the probe to the negative and scoping parts ONLY on the low voltage side will be safe for both the components and my scope, but really would prefer an experienced person to confirm that I'm correct, before I risk an expensive scope and power supply. Is it safe to connect the probes ground to the negative output, and scope the components on the low voltage side?
The noise is not my concern, the power supply sits in an enclosure outside, unless it's a sign of something failing. If need be I can live with the sound. I'm trying to determine why it's having an issue raising the duty cycle, but need to determine what the duty cycle is in the first place, to make sure that it is indeed the duty cycle that's the cause of the lower voltage and not another component. Should I suspect the mofet or another component when troubleshooting lack of duty cycle increase?