This could be good for the gazebo or somewhere else like the front porch if the diagonal hammock is too invasive. It could also be cute to have two hammocks on the front porch on either end of the rocking chairs which would create a cozy perimeter.
For a season, it seemed porch and patio swings were a thing of the past. If you did happen upon the occasional one, it likely looked like it was hanging around from days gone by. However, patio swings have made a comeback in many modern ways.