Unfortunately in the Rockwell world, a "Series" letter indicates a major change in hardware OR firmware/functionality.
Sometimes a new Series is functionally identical but just has different physical components. With legacy controllers a Series change was often just for compliance with ROHS or CE, and there was no functional change.
But sometimes it's a major change to functionality. I can rattle off a bunch of legacy devices where the series are incompatible, or the later series has new features and a "Compatibility Mode" you have to set up to work as though it was an older module.
In the case of the 1769-AENTR, I checked the firmware download website and it only has version 1.01, released in 2014 with the Series A hardware. So that suggests to me that Series C is a hardware change only.
I don't use those module regularly, so I will defer to the Forum members who do.