Indiana State Parks don't have a "Tent" designated area, unless it's designated "Youth Camping" which is then usually an open area off the road for groups like the Boy Scouts would use.
But for the "normal" non-group camper, Indiana designates the camp site only as Electric, non-electric, water, sewer. If it has nothing, then it's a primitive site, which mostly attracts tent campers. But there's no designation what type of camping equipment is permitted or not on the site. It's just assumed the occupant will be a tent camper. But I have see (in Indiana State Parks), those sites with no water, electric, or sewer to have pop-ups, trailers and even 5er's parked in them. It's not common, but I have seen it.
One thing they don't like, I'm pretty sure, is if the site is all grass, like in the youth camping or group camping sites, there is designated parking on asphalt or gravel. They don't want anything but tents on the grass. So they almost always have railroad ties or curbs or something preventing folks from driving up on the grass. Here again, these are the group sites, not the individual sites.