He had been referring to his Sith persona Vader, who wasn't attached to anyone and didn't care about anyone but himself.
“I guess I should say you want me, and him, caring about, and selflessly giving to those around us. And to do that we need to be able to love. It’s just who we are. What you’re really worried about is jealousy, selfishness, and obsession.”
Anakin snorted, “Master, what the Jedi would call an outpouring of emotions, a normal person would call the barest trickle. Affection is quite a bit more than just telling him once and not addressing it again.”