Classic 737s climb via trim, not constant stick inputs. This has changed slightly with the MAX but now you have automated AoA correction (involving trim). That's a nasty combination.
So, you have reviewed the software? If it's so stupid simple, why did it kill a bunch of people?
There is no lower limit on the complexity of a system required to kill people.
So, you're essentially parroting Boeing's narrative IMO. Yes, they want you to think that the system is 'stupid simple' and it's 'no big deal, just one little fix' because obviously that's good for their business.
Maybe, the system required for safe operation is not so simple, and Boeing is no longer competent enough to create a system. Perhaps the 'stupid simple' system was all they were able to muster.
I'm not sure why you think boeing would lie about it. Or how they'd convince the regulators in two different countries to cover it up since you can see the behaviour by reading the graphs in the preliminary report.
The sensor simply measures the angle of the airflow with respect to the airframe.
In fact it is just a free-moving surface attached to the airframe.