Due to lack of HOME tracker, I would not necessarily recommend such a method.
However due to HOME tracker changing whenever it enters a different HOME, it may not matter which game it gained entry from.
(Though, HOME could always be logging the previous tracker, which would form a chain of traceable data.
While I can't expect them to have the resources to track every chain, I speculate that they probably could send a person to check the logs if they suspect something. In any case, use at your own risk really)
Also ask the question in the thread, not as the title. Gonna have to edit that now.