It is less that you request not to be induced, more than you don't agree to be induced! Consultants rarely word it like that, but it is medical treatment that (according to NICE guidance) you should be consulted on, given the pros and cons of, and then asked if you consent to.
You can ask instead for 'expectant management' which would mean you going into maternity daycare (or similar) after 42 weeks, and getting placental function and amniotic fluid levels checked via scans, and the babies heart rate monitored, to check everything is OK. If all is OK then off you head home and go back in again in 24-48 hours to check everything is still OK.
Obviously if some problem is detected then you have to make a decision about induction or an elective section depending on what is detected and how immediate a problem it is. But the bonus is that you only need to make a decision at the point where you know there is a problem (and what the implications are), rather than just doing it by date.
My home birth midwife is happy for me to continue with my home birth plans with expectant management in place.
I've had one membrane sweep at just before 41 weeks (which seems to be doing something) and will get another just before 42 weeks, to try and kick things off on their own. I will probably continue to have them while having the 'expectant management' as well if I get to that stage.
NICE guidelines here: https://guidance.nice.org.uk/CG70
Specific points to note in the 'Full Guidance':
Introduction
"Induction of labour has a large impact on the health of women and their babies and so needs to be clearly clinically justified"
1.2.1.3 If a woman chooses not to have induction of labour, her decision should be respected. Healthcare professionals should discuss the womans care with her from then on.
1.2.1.4
From 42 weeks, women who decline induction of labour should be offered increased antenatal monitoring consisting of at least twice-weekly cardiotocography and ultrasound estimation of maximum amniotic pool depth.
HTH