Yes, but if you solve that problem, it implicitly means that you have a fingerprint of me that can be correlated across the web. So, next time I access a different game, someone can know that I'm the same person who bought the original, and perhaps try to persuade me based on that. Whether anyone does so or not is irrelevant - the only way I can try to ensure it doesn't happen is to try to never leak this data about myself.