I honestly do believe that if a hen takes breaks to hatch and raise chicks, that does give her body a necessary rest. The last original hatchery hen to die of mine was my Buff Orp, Sunny. She made it almost a full year longer than the next to the last one and they made it much longer than all the others. Sunny was the only one of those to ever go broody and she did it twice in her 6 1/2 years. The first time, we had no rooster, so she didn't hatch any eggs, but she had a 5 week break from laying just after she began. The next year, she hatched chicks and took awhile to raise them.
Olivia did raise one batch of chicks herself, but only one in her almost four years of life. None of the others who died from egg issues had ever been broody, not one of them. Now, of course, many who have not raised chicks are still with me, but none of them are direct hatchery stock.
It just makes sense that if a hen's body gets a much needed rest for egg production to raise chicks, it has to do her good in the sense that she has less opportunity to malfunction.