No, there is not a way to override it. This is something that, as you've already realized, was changed in the firmware.
There is not a setting or adjustment for that.
You weren't overriding anything previously, the old chips were simply compatible with the prior firmware.
This is a common occurrence, not just with epson. It is not a software adjustment or any other setting or override process at this point. It is something that the makers/sellers of the generic cartridges will have to adapt to - they will need to start using different chips that can communicate under the new firmware.
Epson does not make prior firmware versions available, and you cannot downgrade firmware once installed. Simply put, the update cannot be undone, though you can disable its ability to automatically update in the future, so that if/when this current issue is eventually resolved, it won't happen again.
I'm sorry that this does not resolve the issue. In cases such as this I can't guarantee a "fix" for all situations, I can only diagnose and explain the problem and tell you how to proceed given the situation. There is nothing physically wrong with the printer, the underlying cause of the problem is related to the use of unapproved cartridges. Using the proper epson cartridges will fix the problem.
My apologies again for the news,
Note: I am an independent technician and I've spent my personal time, unpaid, in a good faith effort to assist with the question for which you solicited my services. I am only paid for my efforts when customers such as yourself leave positive feedback for my work. Again I apologize there is not a better outcome here, though this is really beyond either of our control. I do hope you’ll consider leaving a positive rating for me, rather than “shoot the messenger”, so that I may get credit for my time spent in good faith to answer your question accurately.