Yes, there is still a risk of induced growth. That hair would probably respond VERY well to laser, so you would see the thick dark hairs gone, and then the entire area (and surrounding area) would likely grow a whole lot of finer hair. So it’s a trade off, kind of a risky one.
Do you want the coarse hair gone, but ten times as much fine hair growing on your cheeks (can’t really wax that, but you could shave or bleach it)?
I know you said you react poorly to electrolysis, but I think a few months of some pink dots is waaay better than a lifetime of permanently hairy cheeks (which you’d eventually have to have electrolysis on anyway I think). Besides, really delicate settings on an Apilus Platinum are known for leaving the skin in perfect condition. People get way more marks on the body than the face usually.