Affection allows you to gain progress and save it but its slower if you have more girls to win or other types of rewards. The new champions tickets will also lower your aff drop rates since they are rewards too, this includes quest drops. When I say lower its just based on the fact there are more prizes to win so its naturally is lower for ex. you have a better chance of getting girl 1 if girl 2 or 3 is already obtained or an event that added legendary aff items goes away.