I do get that people have to make difficult decisions. However, this decision is not a difficult one. Especially if you have children, you need to take care of your health. If you get an abnormal pap smear, you get the further tests and treatment if necessary. You figure out how to get it done. You don't ignore it and hope for the best.
I would do all of these if I were in this situation:
Move to less expensive housing - yes
Sell car and get less expensive car - yes
Nix all kids extracurricular activities - yes
Shop at thrift stores - yes
Stop dining out - yes
There are ways to keep more money so you have it for these types of expenses.
I highly doubt that people who cannot afford a yearly health care deductible have the disposable income to move/sell their house/rent a new one or sell the car they already have since most of the time people who have a car payment are underwater on their car loan until the last few months/year of the loan, nor should they as a short term fix to pay for some diagnostic tests that MIGHT come back positive for a disease. That's ridiculous. They have established lives, their kids are tied up in the education system of their district, they likely work relatively near to where they live, etc.
Trust me....I am one of "those" people who pay a LOT in yearly health care costs, have a ridiculously high deductible, and contribute the max every year to my HSA (which just barely covers the deductible IF I don't pay anything toward last years' OOP). Even if I did everything you said above (other than the first two, which are silly suggestions), I still wouldn't have enough to pay everything we have owed in the past 3 years, up front. And, like I said upthread, DH and I make over 6 figures together, but live in a VERY high cost of living area, which we moved to FOR WORK 6 years ago.
Here is why your suggestions won't work for everone, using my family as an example: We spend very little on eating out as it is. I'm talking less than $100/month for 5 people, more often that not, less. I don't buy brand name unless it's off a facebook garage sale site or heavily clearanced at Kohl's (and sometimes that is even more than I am willing to pay), I don't own/buy expensive shoes, purses, or leggings, I don't get my hair or nails done. I have a 2011 Kia that I owe more than it's worth still, and a paid-off 1998 Toyota, and I tell my kids that they can't have or do things they want to do All. The. Time. They don't do expensive "travel" sports and they don't get everything they want. We don't vacation hardly ever, and if we do, it's a budget trip to visit family, 99% of the time. Our son has decided to live off campus and attend a local college in 18 months. He will be getting a scholarship that will cover most of his tuition.
Where else do you suggest people like me cut back? Should I sell my invisible Lexus and get a 1998 Toyota instead? Stop my weekly pretend manicures? Pull my kid out of fake travel hockey?
Oh, wait....
Yup. It's amazing. She neglects to understand so much. Maybe moving to less expensive housing isn't an option. It's not like people just move on a whim. Maybe the woman doesn't have a car so she can't just get a less expensive one. Maybe she does have one but getting a less expensive one won't really do much. Maybe she owns her car outright but selling it to buy a new one wouldn't make a difference. With 4 kids it's not like she can just buy any car.
Maybe she doesn't dine out very often.
Maybe the kids don't do paid extra activities.
Shop at a thrift store? That's great if this woman spend a lot shopping. It's not much help if this woman isn't out spending a lot of money shopping.
It's like the OP is using her own lifestyle to judge this woman.
LOVE x1000000^^^