2K is good for what I need to do. However, yesterday in my test programming it seems like it didn't work correctly over the 1K mark. I'll go double check today to see if I can verify clearly if it is or isn't working for me.
UPDATE: Yep, it worked fine. I can EEPROM.update(2046,77) and read that value back with success. 2K for the emulated Arduino/Genuino 101 EEPROM space is very nice.