Do you have a picture or two you can share? Short explanation would get you a point.
Of what exactly? If you are asking about the scope work, I can dig in, but there are other tools, depending on the company. For instance, a Fluke power analyzer could figure this out too. A scope would never say "ah, here is your problem". This is where the experience part comes in.
What I would do is very simple. first plug into input to dimmer, eval and trap the waveform. Then just turn on the HVAC and do the same. Then kick over to Fast Fourier Transform (FFT) and look for harmonics and what those frequencies are. That will be telling.
I would also evaluate for "glitch behavior", in which a scope can see voltage changes down in nano-second scale, so if you can visually see the lights change, the evidence will be there.
Basically there is zero way a power issue like this can avoid detection of a scope.
I'd personally want to know way more about the HVAC equipment because that is telling. If ECM blower and variable compressor, there will be some SMPS that can certainly contribute to harmonic issues.
What is also possible the the HVAC is just loading the system, but something totally different is causing this. The charge/discharge of capacitors has very high instant inrush, which can cause a flicker.