I recall the horrific fad maybe ten years ago of forcing "employees" to come in and work on their free time for hackathon and maker type events to generate corporate PR. Perhaps, this "Personal Game" policy is a legacy from some awful corporate hackathon event from back in 2012 that nobody even remembers anymore, but the legal paperwork remains in the air like a bad smell.
I suppose until the censorship is removed and we find out the precise legal definition of "Personal Game" we can only wonder and do the usual "big company always bad" thing.