conf3: The variable factors that affect lift are the angle of attack (AOA) and the speed of airflow over the wing.
On a prop a/c the slipstream from increased power produces a localised increase in the airflow over part of the wing without necessarily an increase in airspeed (initially) or change in AOA.
On a jet wing any increase in lift has to come from either an increase in airspeed or an increase in AOA. Increasing thrust on a jet basically only accelerates the wing to produce more lift or compensates for more drag due to in increase in AOA.
So, to reiterate: increasing power on a prop. wing can increase the wings lift without either a change in AOA or airspeed. Do you now see the difference?
Your friend is also probably alluding to the blanking effect that some prop. types can experience when the throttles are closed for landing.