It's definitely something that would need considered. I'd imagine some sort of cost/benefit analysis would be smart to do. The cost of alienating/potentially driving away a few fans to create a better environment for all, which could lead to more first time attendees from word of mouth, students staying longer, and more people coming back. I wouldn't figure many people who sit in the grass are anything other than occasional at best attendees anyways. You're really not apart of the atmosphere at all sitting over there.
I don't like getting too much into these issues because they are what they are. I know we have talked on here regarding segregation of students at basketball games and efforts to make a single student section. I think the University has mostly moved that way. There are a lot more hurdles to deal with at a G5 University. Half of our seats at any stadium are GA, which really lets students sit wherever, which by default makes the student section look worse in size and energy, which makes it a less enjoyable atmosphere for all. But you can't get rid of the GA seats because that's where most of the walk up sales come from, they're the cheapest, and are good value for the price.