Thanks for all the feedback on this!
Actually, it seems like there is more consistency between people's experiences here than I have seen on other MN threads surrounding this topic, so maybe things have become more consistent as time has passed.
I'll add my own experience, since I saw the consultant yesterday after posting this. I'm only 18 weeks ATM, though, so not sure how everything will turn out in the end.
In my case, I was told by the community MW that IVF pregnancies are automatically classed as 'high-risk', and that I would have to see a consultant as a result. She mentioned that I probably wouldn't be 'allowed' go much beyond 40 weeks, as usually that's the case for IVF.
Yesterday, the consultant was able to clarify a few things. After checking my blood pressure, urine, and baby's heart rate, and talking to me, she said she'd see me again at 36 weeks, and that I'd have an extra scan around that time. She said that they'd offer induction at 40-41 weeks, but that it was totally my choice whether or not to do that.
I asked why they offered induction for IVF pregnancies earlier than with low-risk pregnancies, and she said it was because there had been some inconclusive studies suggesting that adverse outcomes (including stillbirth) can be more likely with IVF pregnancies, but that this might also be due to other (confounding) factors, like a long history of infertility (rather than the IVF itself). She said they are just trying to err on the side of caution.
In any case, I've found it really useful and interesting to see how experiences differ in different areas of the country.