I just repaired a Lambda Lab PS. This is not a Lab Grade PS and it is simpler.
We do not have a schematic but the board is helpful. It has little in common to the schematic in the LCD 4 manual.
An Mentioned already, the two diodes in each PS indicate center tapped transformers. Can you check if the transformers are OK? Is there continuity between the leads of the transformer and the center tap. Is the Center tap connected to GRND on both transformers?
Please start here, if you do not have good transformer, it will not work. Maybe the lead on one was loose.
The four big diodes at the top of the board are the rectifiers. You said you checked them
As Already mentioned, The ten lead 723 are LM 723 type volt regulators . If they are intact, they should get rid of most ripple.
If they are bad they can produce nice square waves, since the op amp inside it can do that quite well.
The two cans with the heat sinks are the transistor drivers for the final pass transistors, which are usually mounted on a heat sink nearby. You can check all of them with a diode checker, in place.
If one of the 723 regulators is bad you could easily see something on the other PS output, The output with the big square wave is the culprit.
I think one of the 723 regulators is bad. Or, less likely, one of the components around it is bad. These are mostly resistors.
https://www.ti.com/lit/ds/symlink/lm723.pdf?ts=1702220856089Although others may disagree, I think the ESR of the big caps is irrelevant.
Wally