I initially planned to be in Expo on a weekend, but changed my itinerary to be there on a Tuesday (May 31). The local JTB office, where I purchased my Expo tickets, suggested a midweek visit.
There were a lot of people on-site, but generally did not feel "packed" (compared to Tokyo Disneyland and DisneySeas on the weekend before). Some exhibits/pavilions had horrendous lines, while many country exhibits had short or no lines. The US pavilion had a 15 minute wait, plus metal detector screening.
I would've taken advantage of the reservation system, but did not have a clear idea of what I wanted to see.