I've always found a cover annoying to manage and arrange so I haven't used a cover while NIP since the beginning. I've also NIP a LOT in a wide variety of places including food courts, restaurants, middle of a corn maze, friend's parties, rest stops, the park, beach, etc. So far no comments or reactions. Admittedly I live in a pretty crunchy granola area, so I'd be surprised if I did get comments.Most of the time people don't even know what I'm doing. I've had people come up and pat my LO on the head and then figure it out.
I often keep a washcloth or something around so that I can cover up quickly if LO delatches. Nursing tops help a lot so that my clothing covers almost everything. Gap / Old Navy makes a few, they aren't the most attractive, but they work. Alternatively, long tank tops under another shirt work well too.