I have Large Blacks. The sows farrow in the
chicken barn if the weather is cold and
chickens are always in the farrowing pen along with the sow and piglets. The cats are too. Those heat lamps in the corner are cozy. The only danger is if a sow steps on one, but I haven't had that happen. If the sow is well fed she doesn't care about eating chickens. I have fed freshly killed chickens (coyote attack) to the sows with live ones running around and they still don't bother the live ones. As the piglets get older, before weaning, they start wrestling with one another. The chickens move out when the piglets get around 20lbs because the piglets like to chase them and they are too rough.
A pig will eat any egg it finds and won't worry about if they are quitters or not, but quitter eggs or fresh eggs do not trigger chick eating. So, what gets eaten first; the chicken or the egg? Doesn't have to be either.