The datasheet for the 16F19176 seems to indicate that the device has actual EEPROM on board and does not mention HEF (High Endurance Flash) so I would expect DATA/READ/WRITE to work with that device.

The 16F1937 looks to be the same, ie having actual EEPROM as opposed to the data memory being a dedicated/special/optimized part of program flash (HEF) so, with that device, I would also expect DATA/READ/WRITE to work.

The 16F15376 however does not have EEPROM so I would not expect DATA/READ/WRITE to work.

Do note that I have not verified this, it's simply based on my interpretation of the datasheets.

/Henrik.