I can't really comment as I don't know what evidence they have for that claim, or how they even test, other than weigh you? Or apparent inaccurate growth scans? I think I'd want solid 100% proof that induction was really necessary if that was me (I may think differently when the time comes, if they say 'best for baby' it scares you into thinking they know best, none of us want to put our babies at risk)
Our dues dates are just ESTIMATED so over 41 weeks could be perfectly normal gestation for you.
From what I've read, the placenta doesn't have an expiration date, as long as you're eating you're nourishing your baby - this is from midwifethinking.com
"However, in theory after term ie. 42 weeks the placenta starts to shut down. There is no evidence to support this notion and Sara Wickham gives a great critic of this theory if you ever get the chance to attend her workshops. I have seen signs of placental shut down (ie. calcification) in placentas at 37 weeks and I have seen big juicy healthy placentas at 43 weeks. There is also the idea that the baby will grow huge and the skull will calcify making moulding and birth difficult. Again there is no evidence to support this theory and babies are pretty good at finding their way out of their mothers expandable pelvis."
https://midwifethinking.com/page/2/ (two thirds of the way down) I've read so much online the last few weeks I can't find links to it all now
I really don't know if age would have any difference, I think you have to go with your instincts and hopefully trust that your midwife is confident it really is best for you and baby
Maybe the could monitor instead to begin with? Here's hoping you go into labour naturally before then
Not many weeks to go now, how exciting!