This isn't even approximately true. Pretty much all passenger jets since the 50s and 60s have had yaw dampeners, for example.
Put yourself in the seat of a pilot who has flown an electro-hydraulic 737 for years. Something "funny" seems to be going on with the trim, so you take control and the trim seems to be working perfectly while you manually toggle it, but then the MCAS kicks back in after 5 seconds and tries to push the nose down again. This kind of behavior is coming from a system Boeing did not tell the pilots about.
True for the first crash. However, no longer true by the time of the second crash.
The first crash can be chalked up to engineering errors, corner cutting and the desire not having to retrain and recertify pilots.
The second crash is outright criminal by Boeing, for not immediately pulling that plane out of circulation after the Lion Air disaster. Regardless of the cost (which will be much, much more expensive after crash 2).
Their cozy relationship with the FAA also didn't help and I hope the people responsible pay dearly for that.
Throwing the pilots under the bus is how they tried to handle that PR desaster. Doesn't seem to work well, though.
No, but a rudder hardover might ;). The 747 and 767 were sometimes equipped with stick pushers as well.
Now whether or not such information is widely known among all pilots is another matter altogether.