Replaced ps4 slim power supply. Still no power.

My ps4 slim suddenly turned off while playing. It would not turn back on, either from controller or console. There is no blinking blue light or any indication of power to the system. Seemed to be a power supply issue so I swapped it for another power supply from a different ps4 slim. It still did not turn on and the old power supply worked in the new system. This means the power supply must not be the issue. I have saved game data and the like on my old system which I would like to recover. I did not back it up. What else could be causing this?