Does anyone know if Cinthia or Quentin ever ask for game prizes from Reflection or Item Scramble?

I don't know for sure whether they do, but I don't recall ever being asked for those items from them.

I'm pretty sure they could ask for anything classed as 'game prize'. If I remember correctly, I've been asked for the cheapest prizes from Reflection (usually going for under 30k) the but many of the prizes from these two games might be so rare their high price pushes them out of the quest item pool.