Be concerned, some bench power supplies will fail if subjected to backfeed - that is where the load creates voltage far above the setpoint.
Please back this up with documentation. The manufacturers would have their hands full with warranty repairs.
I've never heard that that's the case.
In the analog world we are talking about the two protection diodes like the old LM317 circuit. One for backfeed, another for reverse-polarity protection. Essential in any bench power supply.
Are these still there in modern digitally-controlled bench power supplies? It's hard to tell and an expensive lesson to find this out.
E.g. Keysight
EDU36311A family:
"The power supply’s OVP circuit will program the output to zero whenever the overvoltage condition occurs. If external voltage source such as battery is connected across the output, and the overvoltage condition inadvertently occurs, the current from the voltage source will sink through the internal circuitry; possibly damaging the power supply. To avoid this, a diode must be connected in series with the output as shown below."
Rigol DP800 "Do Not Provide Power for the Active Load."
"In order to avoid the anti-irrigation current which leads to the power control loop out of control and damages the powered device, this power supply can only provide power for the pure load without the current output function."
(That's such terrible English)
The GW Instek manual is pretty crappy and has no advice/warnings if the PSU can charge batteries, has backfeed/reverse-polarity protection etc.
A DC motor spinning down is a short-term generator and a similar situation to a battery in that the PSU can unexpectedly see voltage not from itself.
If you want to smoke out a junk design bench power supply, just connect a 12V battery and play around.