Just my thoughts on your requirement list:
6. Stability with minimum output capacitance
=> That should be easy as it is only shunting the internal capacitor.
7. Stability with large output capacitance
=> That could be very difficult. Especially with modern low ESR types.
Add inductors to the list and you have enough work for the next year.
I would not be surprised if many lab power supplies have serious overshoots or oscillate with some
combinations of modern Polymers with low ESR.
Maybe that is the real reason, why commercial supplies are not faster than 50 - 100 us,
or maybe they still continue to copying the old HP schematics.
The old HP and Harrison designs do not mention stability concerns or calculations.
The were build by experimenters and work very well with the components of the 60.
But they use a lot of positive feedback for bootstrapping and this could cause troubles
with faster designs.
8. Performance... Well, how about recovery time from 0 to 100% load and back? Say, in less than 20us. Also fast CV/CC switch without glitches. Not sure how to define that.
=> A awful lot of more work.
x. Bonus points if PSU can:
1. Sink current
1. Bipolar
=> This is a SMU and that greatly complicates the design and the price
The usefulness for a power supply is limited.
1. Multiple voltage ranges, but I don't really need steps more than 1mV. But nice to have
.
=> Not necessary with 16 bit DACs
1. True remote sensing.
This is necessary with rear connectors
Why not build a simple proven design like the NG304, schematic is on page 12:
https://www.mikrocontroller.net/attachment/412953/DBL_BEHA_NG304_MANUAL_DEUTSCH.PDF(in German, but schematic is very simple)
I have the impression that you have never build even such a simple design?
y. I would like to build a high-precision, high-performance power supply. How would I do that?
=> Study the schematics of the older HP/Harrison/RohdeSchwarz/Kepco/TTi and understand them.
If you then still want to improve them, then simply do it.
Switching from CV/CC and back is only a minor detail in this venture.
First you need a clear understanding how stability in this supplies depends on the output load.