Picture the circuit below. A dc supply of around 20 V is connected to both a load (with a wide input ranging power supply) and a linear regulator which is set to 13.8V and float charges a small SLA battery.
Clearly when the 20 V supply is available it powers the load and float-charges the battery. When that power supply is removed it's also clear that a diode across the regulator could ensure the load remains powered (rather than relying on the internal parasitic diode of the PMOS pass element). However it seems likely to me that some (many?) regulators would simply turn the internal PMOS hard on in this situation since the output is below the 13.8V regulated value. That would then allow current to flow in reverse through the pass element's very low on resistance and not experience the diode voltage drop. Perhaps a diode might be required to cover the transient situation before the battery voltage has fallen below 13.8V but once it has the regulator would conduct without significant voltage drop or power dissipation.
My question is if there are any regulators known to have this behaviour?