I'm Diamond, but my work has about 25 people staying in the hotel each week, and the people without status are not having problems getting rooms overlooking the field. I've never heard of the rates being higher, either.
Too bad I won't be there for the Dylan concert! I suspect there might be a rate hike that weekend...the hotel does ensure that no non-hotel guests park in the hotel lot for the baseball games, but that's about the only policing I've seen.