Someone who is 'jaded' has lost their ability to get excited or enthusiastic about anything or just one particular thing like their job or the field in which they work. Instead they become disenchanted, pessemistic, even callous. The woman is criticising the man for his lack of enthusiasm for the show but the concept of being jaded describes an attitude that is not restricted to one occasion and so I would imagine he is often negative about things.

In that case it generally means that someone is showing apathy from overwork or overexposure, that they have become inured and disconnected. For example, if someone is working in a menial job, and consequently exhibits an overall disinterest and lacklustre attitude, you might describe them as jaded.