I'm not trying to tread on any toes here, just give an impression of how your doctors will see it...
There aren't that many different forms of induction. Stretch & sweep isn't really seen as induction, more a gentle help along the natural process. But an induction is almost always a vaginal prostaglandin (pessary or gel, or various combinations), breaking your waters, then oxytocin via a drip if the breaking your waters doesn't start your contractions after a few hours.
Some women respond very strongly to even just the pessary, and any of this medicines have the potential to make you contract more than your body naturally would want to, or than your baby is happy with. I only know of one hospital in my area that did outpatient inductions (I.e. go home with the pessary in) and I think they may have stopped it - IMHO it's quite a risk just to avoid 24 hours of being in hospital, especially when after 30 mins of initial monitoring you can wander around, use a ball etc. in the induction area usually. You only need to be on a continuous monitor when you're on the drip, and most places have at least a few wireless machines so you're not tethered to it.
This thing of "you can refuse..." - well, yeah, you can, but framing it like this isn't particularly helpful IMHO. If you think you don't want certain aspects of the induction process, it's very much best to be clear about this from the outset, because the LW staff will assume that you've discussed induction and agreed to the whole process, which is essentially everything it may take to get you into labour.
Some consultants may be willing to use a pessary but then not break your waters, but that's quite "off piste", and if you have the pessary but then refuse the next step as it happens, you're quite likely to confuse/worry/generally annoy staff. You're welcome to do that if you want, but it could be easily avoided by discussing everything up front.