OK, so I’ll just take your graph at face value, then it really doesn’t look overly complicated, or like anything is hooked up incorrectly as far as I can tell. There is a bit of a jittery background, though - do you have an always on computer or something? It sorta looks like mine when the TV is on. Maybe it’s just compressed 24hr vs my 12hr.
There are definite surge spikes that should be getting picked up - I could probably guess on some of them but for whatever reason Sense is having more difficulty.
Your case might be a good scenario for Sense to take a hard look at, to try to identify factors which make appliance identification difficult, contrasting your home with a home where identification has gone comparatively smoother.
I wonder what would happen if you d/c’d the solar clips - did you go through calibration already when you first got set up (even though your inverter was down)? Not that I’d recommend calibrating now, just curious if you had gone through that process or not.