Putting two or more Switch Mode Power Supplies in series is fine.
The output capacitors will be in series which increase the voltage rating of the capacitors. Search "Electrolytic capacitors in series".
The output diodes will be put in series which will increase the voltage capability of the diode. Search "Diodes in series".
The secondary of the transformers in series will be no different from and other isolating transformers put in series.
If the one or the other power supply gets switch off or if they are switched on at different rates, this will not hurt to the output capacitors, Electrolytic capacitors can handle as much as 1.5V of reverse polarity. Page 9
https://www.cde.com/resources/technical-papers/AEappGuide.pdf Even "junk" Made in China capacitors exhibit the same tolerances.
The potential difference between the positive side and negative side of any of the capacitors in series will not be more than the voltage drop of the diode. That won't exceed more than 300 to 700mV.
Putting extra "Safety" diodes between the power supplies will do nothing about the reverse polarity of the capacitors. The capacitor will still see the same potential difference because of the voltage drop of the internal diode in the power supply. All putting external diodes will do is drop the total series voltage. Nothing more.
There are no output Fets on those types of power supplies. Those are Diodes. Even if there were Fets they would be put in series with the other Fets. this would increase the voltage tolerance of the Fets.
The feed back of each power supply will not be affected because it will only see the voltage and current of each individual power supply and not the entire series.
The only time it becomes a problem putting power supplies in series is when using different power supplies with different current output. The entire series cannot exceed the lowest rated current. For example if you had 3 12v supplies and 2 are rated for 10A and the third was rated for 5A, the output of the series would be 36V at 5A only.