Are you are the two parties disagreeing about what their sense data actually are, or about what the sense data match in some way? The same sense data can be matched against different things (think of the sketch which seems to be a young woman when you look at it one way, and an old one at second glance).
I think I understand your question, based on your young woman/old woman example. The two parties are disagreeing, then agreeing, about what the sense data actually are.
Are you are the two parties disagreeing about what their sense data actually are, or about what the sense data match in some way? The same sense data can be matched against different things (think of the sketch which seems to be a young woman when you look at it one way, and an old one at second glance).
I think I understand your question, based on your young woman/old woman example. The two parties are disagreeing, then agreeing, about what the sense data actually are.