Earlier quoted context omitted.
Pretty sure the user volume for Uber is higher over the weekends than during the week. Particularly system stressful times are 1:30-2:15am PT on Saturday and Sunday mornings.
While a lot of people go out on Friday and Saturday night, I don't think the total volume surpasses commute volume. The surge in pricing you experience late at night is largely due to the number of drivers on the road, which would be less given the time of day. Edited out consideration: traffic in your area might be a good proxy for Uber volume. Traffic late at night is generally low.
From personal experience, having driven for Lyft and Uber I'm two cities (Sf, sd) surge in SF does get acutely high in the morning, more broadly in the evening (work departure times are spread out over a wide range of hours), and acute around 2am. In California, bar closures statewide are 2am at the latest, so that accounts for unified departure times in multiple markets.