My IS200 would not start either and I found the fuel pump got no power. I've been to hell and back:
Checked the pump - it pumped.
I got sparks, so it was not the EFI relay.
I checked the Circuit Opening Relay and that was not the problem either: it switched on all right.
This all also ruled out any inhibitor kicking in, or the ECU being defective.
Finally, I got the engine running again by applying 12V straight to the pump (check polarity!)
Now, according to all diagrams there should be a combination of fuel pump relay and fuel pump resistor (0.3 Ohm), that put the pump at 12V at times of engine start or acceleration, or put the resistor in series otherwise to 'prevent pump burnout'. I cannot find the relay or the resistor anywhere on my car and yes I have looked. I'm not a fan of cracking open those wiring looms, risking even more malfunctios, so I'm about to hotwire my fuel pump some way to get a few more kilometers out of my 560k+ car.
For those who might get to this point may this be of any help, otherwise thanks to y'all for all support I got on this forum.
https://www.shoarmateam.nl/upload/Lexus/IS200+IS300/manual-is200/Electronic Fuel Injection/m_fi_0006.pdf
https://www.shoarmateam.nl/upload/Lexus/IS200+IS300/manual-is200/Engine Diagnostic Procedures/m_di_0121 (2).pdf
https://www.shoarmateam.nl/upload/Lexus/IS200+IS300/manual-is200/Electronic Fuel Injection/m_fi_0054.pdf