Some supplies have a fuse for the crow bar. So the fuse hopefully blows before the rest of the circuit gives smoke signs. As the crow bar is often a really beefy SCR this may actually work, as SCRs are relatively robust.
Quite a few supplies also have a kind of weak sink capability - so if the voltage is higher than it is supposed to be, they would first sink a moderate current of a few 10 mA, usually with not much harm. This way the ouput capacitor would drain if you turn down the voltage with no load.
Many designs have a diode, so that if backpowered, the source from the input would just provide power to the supply circuit. Unless to high nothing bad happens - draining the battry meant to charge.
A reversed battery is usually problem, because there usually is a diode to prevent significant reverse voltage. This is especially needed with 2 supplies for a +- supply and than the current lmit engaging on one side. Usually the same fuse could engage as with the crow bar (if present). For the KS supply the point may be that the 1 A channels shoud have reverse diode good for at least 6 A (the other 2 channels combined) - not every 1 A supply has this.