I wonder if OP did things the hard way. I2C eeproms, including their 24C02 has a write-protect line.
They could probably enable write protection and the chip would never decrement.
Just cut WP off from gnd and attach to vcc (with a pull-up for good measure), or vice-versa and voila.
Depends if the machine’s MCU verifies writeability or if the decrement actually happened and cares.
Early paytv satellite systems didn’t care…