Your question isn’t well defined until we know what pressing X does to the human’s general evolutionary fitness. If every time X has been pressed an odd number of times and the human is pressing B(1) their general evolutionary fitness is reduced (until you press X again, and it rebounds), then that damaged them, and there may (on deeper examination of the biology of the mechanism for the change in button pressing) be a reason to prefer the first utility function. If the parity of the number of times you pressed X doesn’t vary their evolutionary fitness, then the third utility function is correct. You oversimplified the problem to the point where it became insoluble: this is a question in Biology/Sociology, not mathematics. If you damage a human, thier mistake rate goes up, and if their mistake rate goes up, likely they were damaged. This evolutionary fitness depends on their optimizer running well.
Your question isn’t well defined until we know what pressing X does to the human’s general evolutionary fitness. If every time X has been pressed an odd number of times and the human is pressing B(1) their general evolutionary fitness is reduced (until you press X again, and it rebounds), then that damaged them, and there may (on deeper examination of the biology of the mechanism for the change in button pressing) be a reason to prefer the first utility function. If the parity of the number of times you pressed X doesn’t vary their evolutionary fitness, then the third utility function is correct. You oversimplified the problem to the point where it became insoluble: this is a question in Biology/Sociology, not mathematics. If you damage a human, thier mistake rate goes up, and if their mistake rate goes up, likely they were damaged. This evolutionary fitness depends on their optimizer running well.