Update on the flicker in my system. I removed 2 circuits from the upstairs fuse panel and powered those from the critical loads panel. Flicker has not been present for a week now. I will be replacing that fuse panel today and the feeder cable for it. I did notice last night my bedroom nightstand light has the faintest shimmer to it, there is a freezer on the other side of the wall and it was running. You really had to look for the shimmer, if you weren't aware of the issue, you would not notice it. The original flicker was very noticeable and the inverter output voltage would swing between 111V to 128V. I consider this shimmer to be normal with the freezer running causing the slightest fluctuation in line voltage on that circuit. I think if a separate circuit powered the freezer outlet there would not be any shimmer in that bulb. It may even have shimmered before under grid power, I just never noticed it.
At this point I consider my problem resolved. I put this update out for those looking for a cause of light flicker. In my case the culprit appears to be that fuse panel, my suspicion is there is a hairline crack in the fuse holders on those 2 circuits I removed. I'm quite certain the cause of light flicker is inverter output voltage fluctuating, it tries to maintain the output voltage at 120V, but the cause is a load that causes the inverter to swing output voltage even if only a small delta like 1V.