Culling open ewes is probably the best advantage. We have our ewes sheared around the end of the year and lamb in January. We have the facilities for the ewes to lamb inside and shearing their warm coats off, keeps those future moms inside when they start to lamb. Having a clean fleece also helps the new lambs find the teats easier. Another advantage is being able to feed a larger number of ewes around the feeders.
Sheared sheep seems to allow for more space in each of the pens.
In order to sleep throughout the night, sixteen years ago I bought my wife a surveillance camera with monitoring system. The camera is focused on the drop pen which holds the ewes that are the closest to lambing. She keeps an eye on the TV monitor for lambing activity. We watch new moms until their arrivals are at hand, then we head to the nursery barn. A lambing jug should measure approximately 5 feet by 5 feet.