Given that previous US debates results in a LW person writting an annotated version that pointed out every wrong claim made during the debate, why do you think that LW shies away from discussing US debates?

Secondly what do you think would "direct coverage" produce? There's no advantage for rational thinking in covering an event like this live. At least I can't imagine this debate going in a way where my actions significantly change based on what happens in the debate and it would be bad if I would gain the information in a week.

Direct coverage is an illness of mainstream media. Most important events in the world aren't known when they happen. We have Petrov day. How many newspapers covered the event the next day? Or even in the next month?