Not an expert, but when everytimes I saw a typical switching power mosfet used in linear mode, it worries me on it's reliability, especially its not a special manufactured "linear" mosfet.
The mosfet is rated for linear use - it has a DC Safe Operating Area curve and 38V/3A is within it. However, if you could get 100A peak for 1mS while waiting for the current limit circuit to start up, that could cause a cell in the mosfet to commence thermal runaway, and from that point, you can throw out the SOA curves. The MOSFET does have low channel resistance and low gate voltage, so it is certainly vulnerably to thermal runaway. Transistors tend to have self current limiting - they cannot put out any more current then the base current drive allows, and the higher the current, the lower the gain. This MOSFET is driven by voltage, and the device is probably capable of conducting 1000A under the wrong circumstance.
The datasheet looks too good to be true:
My rule of thumb: Whenever you see a straight line in the DC SOA curve with no derating at higher voltages, you know it is wrong.
Every transistor is more susceptible to second breakdown (or whatever it is called for MOSFETs) at higher voltages, therefore the SOA curve always has a steeper slope towards higher voltages.
Here it shows a constant 300W limit right up to 150V.
And the SOA curve is only valid for Tc=25°C. In any real power supply, it will be much warmer because it is dissipating power.
And 300W in a TO220 package? You probably need liquid helium to make it work realiably.
The datasheet says:
Super high dense cell design for extremely low RDS(ON).
High density means it is less suited for linear operation, because the die is small.
It looks like the designer of the power supply simply trusted the specs in the datasheet, without thinking about if it is plausible.
There is nothing wrong with MOSFETs for linear operation, but you need to understand the limits, and it looks like the Rigol engineers did not.
Did Dave in one of his videos measure how fast this power supply goes into current limit? Then we could estimate the power dissipation in the pass transistor.
If Dave has not done it, it would be a nice follow up video to measure the power dissipation (measures voltage across pass transistor and current using the same scope and multiply + integrate the dissipated energy and compare it to the datasheet ratings).