I'm not sure I would call reacting to the fish keeper as a sign of personality. I think almost all fish react to the "potential" of receiving food from the sight of a familiar human form that has, on previous occasions, provided food.
Heck my ~200 bluegills in a creek in my back yard follow me when I walk along the creek bank and go nuts when I stand on top of the bridge because that is where I usually feed them from. They do not react with the same level of intensity when my kids walk by (most likely because they do not feed them).
Personality, in my opinion, is interacting with me, not for food, but out of curiosity or enjoyment. I have lots of big fish, but only one (Titanium Flowerhorn) seems to enjoy it when I put my arm in the tank. He swims around and rubs against my arm and watches EVERYTHING I do intently.
All the other fish, who go nuts when I walk by and practically jump out of the tank when I feed them, will hide, or go to the far end of the tank, when they realize I am not feeding them and put my arm in the tank for maintenance.