There are always going to be benefits of a naturally started labour v induction v c/section - that's a given.
But saying that. This girl sounds like she's going through hell.

They will have to send her to an Ob to have any sort of intervention. There will be a team of doctors trying to help that mum and bub but they will also weigh up the health benefits of the mother. Sometimes for mum earlier is necessary not just better.
I'm having a (necessary) planned section later this month, but after today I might be looking at one this week. At 37 weeks. I'd rather do that than have a stroke/have my kidneys fail. I need to be able to function. It's not always the way we plan.
I hope SIL finds herself a great team to get the optimal outcome for both of them.