The TPS is a good reference book, but not something I would recommend for a easy bed time reading.
Strange that you see the same type behavior with different mother board and different power supply.
The Intel board error is indicating that power good never comes up so that the board does not start fetching code from BIOS.
(Stop me if I get too detailed)
I would verify that all 3 power connections are connected and correctly wired ( the 2 -- 2x4 pin 12v and the main SSI power connector)
When power is present at all three, the mother board should report a "Power Good" to the processor and start reading the BIOS instructions.
You should see the row of POST LEDs start flashing at this point. If the LED stop, make note of the light pattern and the TPS should tell us were it is hanging up. ( I don;t think your even getting as far as the LED's flashing)
A bad processor is a possibility, but it would be low on my list.
I would expect
1) one of the 3 power connector is missing or wired wrong for the mother board.
2) A component(s) on the edge of the mother board at the end of the PCIe slots has been damaged inserting a card (usually video)
There are 2 or 3 little resistors very near the edge of the board, that I have seen users wipe off when seating PCIe cards. They connect the power good signals to the BMC.
3) some chassis mounting screw is shorting the mother board so that power does not come up correctly.
4) Bent pin in CPU socket
5) PCIe or DIMM socket shorting the mother board.
6) power supply
7) BIOS corruption ( not likely if it has never booted)
8) Add in card failure (try removing any cards)
9) Processor - since all else is not fixing it and you seem to have the same issue on a second board.