I love my broody hens, I prefer them over an incubator as the chicks are so much happier and naturally integrate into the flock. But I will say they are a LOT of work. I've had eggs broken, eggs soiled, eaten, chicks killed by the mother hen, chicks go cold, chicks suffocate, chicks strangled, chicks abandoned, chicks eaten by other hens, and other issues. It is very stressful, but again, you don't have to worry about them being warm (after the first day or so that is, once I know the hen is a good momma), taught to eat or drink, taught how to behave, and taught how and where to perch. Mother-raised roosters tend to be less aggressive.
I use the incubator to hatch eggs abandoned or damaged while under hens or eggs that need a few extra days because they are hatching late and the Mom and chicks need moved (so the babies don't get killed by other hens or predators).
I've had Red Stars, Leghorns, and Sebrights go broody and some of my silkie mixes haven't gone broody, so it kind of depends I guess on the individual hen and the situation. Some years they all want to go broody, sometimes multiple times a year, and other times only a few go for it and some break-up.