There is not a lot of discussion of information privacy in sense of invasion of privacy but the movie explores the concept of the private self and the private self.
One of the most repeated themes in this movie is the concept of memories and its' connection to death. In the movie, Pawel sees a dead dog and laments about his morality. He wonders what is the point of being able to answer computational answers if he will die one day. This prompts him to ask Krzysztof , his dad, if other people will know if someone dies. He responds by saying if someone puts an obituary in the paper then other people will know. He explains later that memory is the only remnant that exists after someone's death. Finally, in the beginning and in the end of the movie, we see a recording of Pawel running with his friends, the last physical remnant of him.
Above, the movie explores how technology can preserve memories and aspects of the self. This is expanded upon in Krzysztof 's lecture when he compares the rich "collective memory of languages", discussing how each language requires a specific background to truly understand it, and the limited, digital logic that mathematics provides. He claims in the movie that he wants computers to be mixture of these two ideas, something that systematically contain all the information that society can possess. In other words, he is theorizing artificial intelligence and the internet.
The implication of this is that computers have the capability to contain instances of people's experiences and can extract them when prompted to, similar to Pawel asking the computer to explain his mother's dreams. Our private thoughts can become public through the power of computers. The hope that characters like Krzysztof and Pawel is that this blurred line of privacy will create more certainty in their lives regarding relationships. However, the movie argues the opposite.
Every time the clip of Pawel running on the TV is shown the video slows down as if the viewer is forcing time to slow time down to view it a little longer. The privacy that was lost to Pavel didn't provide any additional comfort in his dead rather it solidified it everytime Pavel left the screen. It reaffirms again that technology provides little comfort in matter of emotional distress or existential pain, and that a deeper connection is required.