You seem to be arguing multiple sides here.
Philip Greenspun's speculation is a plausible concern, that is all it needs to be a valuable point, that type of data limit handling ought to be considered as the system is looked at. I read his post that he was talking a specific simple example, all the other types of things you mention could also be looked at. How the AoA sensors failed, any potential issues with signal handling, and especially what happened with the Lion Air AoA sensor repaired in Florida need to be investigated, that sensor repair sure seems to be. (BTW data handling in aviation is pretty interesting,
Greenspun is a fairly unique combination of EE/CS/past MIT lecturer/geek and experienced pilot, including holding an ATP certificate and flying for regional airlines.
The system as implemented could not have a "re-command full-nose down after reset". To start with there is not really a "reset" for MCAS. The pilot's only way to fully disabling MCAS continuing to do bad things is via STAB TRIM cutout switches. The STAB TRIM cutout switches are required to handle lots of other problems. e.g. runaway full nose down trim. The stabilizer trim system itself is a dumb as a rock, and has no idea where the trim should be set to if the power is restored to it. I suspect the only likely sensible behavior of the trim system itself is that it makes no automatic change. If MCAS is driving the trim wrong and if it was possible to remove the MCAS input to the trim system then the pilot should be able to reset the trim they want (with then hopefully functioning electric trim switches), or allow the autopilot to do it (outside of MCAS the A/P is the other automatic system that manages the stabilizer trim). The problem is that was not anywhere in Boeing's plans here, there was no way to separate MCAS going nuts and commanding extreme trim changes, from the actual stabilizer trim system.
However I do agree with your sentiment about (all the other) bad mistakes. In my view when a seemingly largely self-regulated group goes off and designs something with so many glaring issues (single AoA sensor source, lack of documentation and training, not even having a standard AoA disagree alert, etc.) and other possible issues (rationale of extension of MCAS trim authority, trim wheel forces needed to crank mechanical trim at stabilizer trim limits, Boeing slowness in responding to issues etc.) then everything needs to be looked at. My hope is there are very thorough investigations, of the actual systems, of all the proposed remedies (which separately, I am not convinced are enough), of Boeing, and of the failure of FAA oversight here. And I hope that is done as fast as possible, and as slow as really needed.