Does it matter? The success of the franchise will be about how cheaply and lol people can pak at these things.
Other than bragging rights, no it doesn't matter, you're right 90% of the attendees don't care if it's AA or AAA. Other than getting the rare superstar rehab assignment AAA teams don't really have a decided advantage. Most AA stadiums are smaller but that doesn't even matter as much in Wichita, I'm guessing they wouldn't have built a smaller stadium if they knew they were getting an AA team, because of the ABC Tournament.
The best minor league park, and the best minor league game atmosphere I've ever been to is an AA park. The beautiful Hadlock Field in Portland, Maine.