Most chess players play through chess games after the fact at their own pace, clicking one button to move ahead or another to move backwards. We've had this ability for hundreds of years: at one time using printed pages and wooden chessboards instead of computers, but the principle is the same.
But if you're really interested in the TCEC as a competitive sporting event, you might prefer to watch the drama in real time. How many people record the Superbowl and play it back at 100% speed the next day?