Got some pissed off messages from my brother this morning that the United game wasn't there on demand by 7. Seems hit and miss when it actually goes up but you can rewind the live game back up to 2 hours. So in future if planning to start a 3am game at 5 that would be the best bet. You'll just have to make sure to mute and cover your screen so you can only see the slider at the bottom to put it back to the beginning.
Not as convenient as the button on PLP to go back to the beginning but can be done.