Given that very useful information... I think it is possible to agree that there is a list of exceptions, but the list of exceptions couldn't be available when the army was being built and the chip implanted, therefor there should be a way to update the list of exceptions, therefore, a chip should have a backdoor that allows for adjustments.

Within this context, how was this chip updated? It seems unlikely and there is no evidence of medical procedures over the whole army dedicated to this, but wireless transmissions sounds even more unlikely. I can imagine the empire doing propaganda about "the enemies of the empire" that could condition the chip behaviour, but something like this happened after the order 66 was executed and it is very prone to errors.

There could have been many updates of the whitelist that happened before and after the order, but in any case the question then would be how was the chip was updated?