With DD, I always did. It didn't bother her and it was just easiest to throw that thing over my head and not have to worry about it slipping. This time around with DS, he hates the cover and spends a lot of energy trying to pull it off, so no cover lol.
I almost always wear a nursing tank under another shirt so I'm pretty covered. Plus, I just don't care as much at this point. My boobs have been hanging out for years.
If you feel most comfortable with a cover, maybe get one that matches more of your wardrobe so it doesn't seem so out of place.