I have most often discouraged my hens, mostly because two of my broodies get in fights with their flockmates when they are broody and it seems to set them all on edge.
My last broody before winter I let sit the whole time and was particularly worried about how she would reintegrate because she was quite agitated when off the nest if anyone came near her. It was either a non-event or they took care of it when I wasn't watching because one night she was just calmly roosted with everyone like nothing had happened.