No, because it's still a fake bokeh.
Agree it's fake, but Lidar will help improve how the bokeh is implemented. I wouldn't expect much (if any) difference between the 12Pro and Pro Max though.
Regarding the OP's original question...how much you notice the difference depends on shooting conditions and what you're trying to do. The improved image stabilisation is useful, but if you are in a brightly lit relatively stable position (family picnic on a summers day) then you won't tell much of a difference. Use it in darker situations and the Max will cope better and the quality differences will become more apparent.
If it was me, then having the extra weight / size of the Max every day is more of a burden than the occasional camera advantage. If you went max for the bigger battery, screen estate AND camera, well that starts to make more sense. I had a Max before and I know you do get used to the size, so it's personal choice.
After 25 years of photography, I sold all my camera gear when the 11Pro came out. I accepted the downgrade in overall quality for the ease of use and realisation that my big DSLR stayed at home far too much. Either way, the 12Pro or Max will easily be good enough for most day to day situations.