Hello tma,
I am pleased to contact you again. Please accept my apologies for the delayed response.
The PCA9634 is a great option. I am pleased that you decided to use it.
As we know, when a LOW level is applied to OE pin (which is your case), all the LED outputs are enabled and follow the output state defined in the LEDOUT register. Such value is OFF by default. I guess you may change your circuit logic.
I am afraid that the PCA9634 does not feature an internal EEPROM.
Have you tried to apply a HIGH level to the OE pin?

Regards,
David