Inductive Reasoning
This one is a bit of a stretch. Being capable of inductive reasoning does not mean a super robot can't come to the same conclusion, but because it's faster for a human-like robot in some cases. Predicting the outcomes based on emotional, 'human' sense might come to the same conclusion as a robot that takes it as a statistical factor, just more quickly.
"Storms a' comin'. I remember May a couple years ago we had an afternoon like this. Also, my knee's gone out - I always know that way." May be just as accurate, but quicker than calculating all of the weather factors, humidity, etc.
Long-Term Sustainability & "Gambling"
"Don't throw the baby out with the bathwater," my mom used to always say. So while an immediate calculation might be helpful and make a determination, a 'human' robot could gamble that it's better to hold off, with mixed results. Sometimes gambles pay off.
Companionship
Companion in Latin means someone to break bread with ('com' & 'pan'). A 'human' robot can offer this, and then there's people that want the RealWifeBot2000.
Emotional Sympathy
Attending a therapy session with a sympathetic (or would it be possible: empathetic?) robot should have better results than a robot that calculates exact reactions and prescribes precision drug uses.