To be honest i didn't expect to find a write up on this online. I was just looking for a picture of a JFET current source to use as an example of how to do it but came across a schematic for the exact thing by accident
After looking at the link, a bit, I realized that I had come across it. However, I did not consider it in depth, because it appeared to me that the remainder of the text indicated that it was not a good solution. Far more complicated circuits were then proposed.
But to be honest i don't really see any reason to build this circuit for supplying more than 50W. Such an amount of power is enough to start up pretty much any mains power supply. Once the PSU of the device being repaired is up and running then there is no reason to continue using the current limited supply. It will not protect anything downstream of the PSU since the PSU itself typically has a good bit of power stored in its capacitors, so despite a limited input power it is still capable of a plenty strong enough output surge to blow something else up. The only job of the current limited supply is to safely power up the mains side of the PSU in a way that doesn't cause a huge bang with sparks flying due to your wall outlet capable of supplying >300A for a short moment before the breakers trip. After the PSU it is the PSU deciding how much current it wants to provide.
From the very beginning of joining EEVBlog, I knew I had found a wellspring of wisdom and this proves it. I had not even thought about the capacitors building up energy. That's a great point!
The more we talk about this, the more I am convinced that the safest way to deal with the onboard PSU is to disconnect it from the rest of the circuit and, then, inject a controlled voltage/current source with a bench PSU. The effort to separate the two and the risk of rework damage is just part of the game, but well worth it. Of course, the onboard PSU would then be test-able, itself. I have also learned that I need to add a break-point, either jumpers or cables, between the PSU and the circuit, on all my PCB designs.
Do we need to consider this further, or should I mark the title as "Solved"?