If the baby is small for age then I would have thought induction less favourable as they'd want them inside as long as possible? But anyway my approach to this is always discuss discuss discuss and get as much info as possible. Please please do not hide away from medical professionals out of a fear that they just want to push induction/unnecessary intervention. It is not true.
I was told the acronym BRAIN when I was pregnant with my first and it's been invaluable for all health related discussions ever. I think sometimes the "natural birth crowd" can be overly focused on avoiding intervention, the cases where intervention was unnecessarily recommended etc and almost present it like if you have interventions, then your birth is going to be awful but if you can avoid them all then you'll have the magical perfect mythical birth - and that's not realistically the case.
All interventions have their place. For a really clear example, if you were suffering from pre-eclampsia, you've already had the blood pressure medication and that hasn't worked, and you're being offered induction, you shouldn't at this point be comparing induction (and the whole scary cascade of interventions thing) to a nice calm natural perfect birth. Because that calm natural perfect birth is already out of the window. Your choices at that point of pre-e are basically to take an induction, which might turn out to be a really easy nice tipping point induction which goes smoothly and you can otherwise still have many elements of the birth that you'd thought of, such as using water for pain relief or remaining active. Or it might be to take the induction and it turns out to be a harder induction than planned, but you still get the vaginal birth, with all the benefits of the smoother recovery etc. Or it might end up in an emergency c-section. Or you could opt for a planned c-section (which most people find calmer and less stressful than an emergency one.) Or you could say no and lose the race and end up with both you and baby in an extreme medical emergency. The point is that the induction in this case might actually be the best option. That's much more clear cut than a scan showing slow growth. But it's an example to show that the idea of refusing induction because you're fixated on "induction = bad" is not a helpful mindset. Induction is a tool, yes, not one that we want to use unnecessarily, but remember that there are cases where it will be the best option. (And for example, if you're worried particularly about the difficult induction or needing to be monitored, so on the bed, or not being allowed to use the birth pool then you could discuss alternative options like - OK - would I prefer a planned c-section? Would I think about an epidural because I'm worried about not being able to use the tools like active birthing and water that I had planned to use?)
So - back to BRAIN - it stands for
Benefits
Risks
Alternatives
Instinct / Immediate
Nothing
So you could use this right now. Next time you see your midwife, ask her the following questions:
What are the benefits of doing the growth scan? What information would you be hoping to get from that? How accurate is it? What would happen if you found what you're looking for? What would be recommended next?
Are there any risks from doing the growth scan? (e.g. Is it harmful for my baby to be exposed to the ultrasound waves? I've heard that measurements can be inaccurate, is it possible that this could cause undue alarm? My daughter was small but there was nothing wrong with her, is it likely this will be the case again?)
Is there any other way to identify this specific risk?
(Instinct is: What does your instinct tell you? But I prefer immediate personally)
Do I have to decide now? Can I think about it for a while? When do you need to know by? (For things like induction you can use immediately as in: Does this need to happen now? Can we wait a little?)
What happens if we do nothing? (This has always been the most interesting question).
Always always open up a discussion. Understanding why certain things are being suggested puts you in a much better position compared to guessing and worrying about why they are suggested. It also gives you chance to understand what the realistic outcomes are for each scenario, and compare the real situations rather than comparing to an imaginary one which might not be on the table any more. It opens up a discussion with the midwife where you can share your fears and she can explain what her perspective is on this.
More information is always useful.