I had the same symptom with a GTX780m. Plugged it in, 1st diagnostic led lights up, hit the power button and nothing, just a split sec of fan spin and nothing else, no other LEDs lit up". But for me an external screen worked fine. I took it apart several times to check GPU card seated correct etc.. but always the same. Original HD6790m (after being baked in the oven) worked fine.
Otherwise wrt wx7100 and why some have success others don't.
If there is problem caused by a brief moment of high amps, maybe not all PSU / on board voltage regulation on logic board, can cope with this due to aging of components etc.. , some components age better than others….
Different PSU may show up something or not. Voltages for logic circuitry (incl GPU card) are regulated on the logic board and there are separate voltage regulation for different parts of the logic board, so reducing SATA devices power draw may throw up something or not.
To reduce power drawn from logic voltages supply. If you have not already tried. Try with minimum memory slots occupied and minimum USB power usage (i.e. powered hub if using external HDD).
Hope it helps.