We were there from Friday to yesterday and just got home last night. Crowds were super light in the mornings. We did rope drop each of the 3 days (Fri - DL, Sat - DCA, Sun - DL), and we didn't have to show up an hour ahead of time or anything. We walked up to the security lines around 7:40ish, and didn't wait in line more than a minute. We rode just about everything we wanted to ride each day in the first 2 - 3 hours of being in the park (we did 1-PPD tix). And we only really needed our maxpasses after about 10:30 - 11:00am. Standby times were still only around 30 minutes or so for rides like Space Mountain, Matterhorn, etc, until the afternoon. The crowds definitely picked up in the afternoons, and Friday was a grad night.
As others said, you might see more people coming to take advantage of the rest of the park before trying to see SWGE on the 24th, but it shouldn't be as crazy as it'll be on the 24th. Are you only going on Saturday? Sundays are usually pretty good. I highly suggest getting there for park opening, though, and maxpass is a must after the first couple of hours.