No.
P2 is interested in Y. P2 refuses P1's offer of X because it has no established relationship to Y.
For example...
You are interested in booking a rocket flight to the moon. I ask if you want to see my collection of belly button lint. Since it has nothing to do with booking a flight to the moon, you refuse.
Gadarene was saying that I cannot conclude that you are uninterested in booking a flight to the moon on the basis of your refusal to look at my belly button lint collection.
Similarly, I can't conclude that you don't like cats on the basis of you being a fan of Lady Gaga. Nor can I conclude that you prefer baths to showers because your favorite food is pie.
Now, if I establish a relationship between the two, then yes, I can draw the conclusion. "If you look at my collection of belly button lint, I'll give you a ticket to the moon." If you refuse then, I can conclude you aren't interested in a ticket to the moon. Similarly, if it can be established that only cat people are fans of Lady Gaga, or that all pie eaters prefers baths, then I can draw those other conclusions as well.