I would say the '01 FSM, since it's more current to the type of A/C units that's used in an '03 ES300. Even better would be a manual for an '02 ES300, since this was the first year of the new generation ES's that went from '02 thru '06.
I didn't see the manual for an 02' any Ideas where I can look? The A/C light is blinking, freon is fully charged. no compressor cycling at all.