Why are you pressing eject in the first place???
You should be pressing RESET, not eject....
NOTE: This is with the disk assumed in the tray and the tray closed:
Playstation 2 Games
• Power up normally from STANDBY with RESET button. A single tap is required.
Playstation 1 games & DVD Movies
• Power up from STANDBY with RESET button held until the blue EJECT light comes on; then release RESET and the disk will boot.
NOTE: Turn off the PS2 (to standby) before changing Mode (PS1/PS2/DVD)
Try it this way and see if it works....