Usually, but not always.
As I said, we have two bad genes in my family related to heart disease. Both can cause problems starting in childhood, one can cause sudden death at any age (we lost two nephews in their 20’s to that one) and the other used to cause death in the 40’s before medical treatment was a thing, although mom started getting angina pains in her late 20’s from it. Yes, modern medicine can mitigate some of the problems (mom lived to 77 instead of dying at 45) but it can’t cure these problems. This isn’t heart disease that can be avoided or improved by diet or exercise, and it involves multiple surgeries as well as other medical interventions to deal with over a lifetime. It can’t be prevented or cured, just managed over the decades and no matter what both will cause progressive debility over time. One of them might be treated by a heart transplant in the later stages of the progression, but that’s no cake-walk either. The other… it affects circulation throughout the entire body, and causes other damage besides heart disease.
Due to mom’s genetic condition at one point she spent a couple months in the hospital, then when she came home spent all day drugged up on the couch. She was on a waiting list for a new experimental treatment, with an estimated waiting time of six months. She got it in four, because so many people on the list ahead of her died waiting for it. Meanwhile, me and the siblings were having to take over the household because dad was doing two and only two things: working as many hours as he could because our finances were circling the drain, and coming home to stress over mom and try to sleep. My parents were there physically, but their minds were often someplace else. Even though I knew, intellectually, why all that was happening I still felt abandoned for about a year and a half. Emotionally I was.
I suspect you haven’t seen this sort of heart disease which yes, certainly can have major negative effects on the family as a whole. Mom wasn’t some ancient old lady, she was in her early 40’s. Medical debt crushed the family finances and it took decades to recover. Sure, it didn’t affect mom as a kid, but it sure as hell affected her kids, as kids.
Same for some for some of the breast cancer genes, which can lead to people getting cancer and a 5-10 year gauntlet of treatments which might still end in death while said person is in their child bearing years and their illness affects their children and crushes their family resources. And I’m deliberately using a non-specific pronoun because while BRCA gene problems in women get a lot of press the men with these genes also run a higher cancer risk: 8 times more likely than the average man to get breast cancer, 7 times more likely to get prostate cancer at a given age, and more prone to all sorts of other cancers, and they get these cancers years earlier than the average man - again, in their reproductive years and not as old men.
So in fact, even if those genes aren’t giving kids cancer they are certainly affecting the children, sometimes very young children, of people with those genes.
I don’t have a problem with people choosing not to pass those genes on.