The original article was talking about specifically how this tax increase would affect higher earner families. It was not the intent of the story to describe these as typical of the general population.
It makes me feel even worse on general principle when the exchange is coercive, using my example, I parked in a place that was designated by "random person with authority" at "random point in time" as not to be parked in, so if I don't pay my locally sanctioned protection racket I will be penalized. I will never see this as a positive thing.
EDIT: Also, it should be said that with things like taxes there is a distinct psychological effect/cognitive bias where people see less value in things where the effect or value of the transaction cannot be easily seen.
The 'wince' from paying taxes comes from the psychological disconnect between my actual use-level of the services, it isn't logical, but it is definitely there. This psychological disconnect is where libertarian positions come in, people want to pay for what they make use of, and no more. I don't personally believe that individualistic positions make much sense, but I experience why people would advocate for them in a visceral way when I pay for services that I don't use.
I have never once broken a bone or been a patient in a hospital for any reason, I have still paid for it.
I have never once used a fire service, nor can I think of a single person I know that has off the top of my head, yet I still pay for it.
The roads in my city are a great example because in my city the money has been mismanaged and they have not patched any pot-holes for over five years now. My morning commute to work across my city is as bumpy as rural country roads. And yet I am still paying for something?
These things add up to that wince when I pay money, but that isn't to say that we shouldn't pay for the upkeep of these services and I would never advocate for people not acting collectively. I think the 'wince' is more of a symptom of how disconnected we are from the other people in our community.
When we don't see the fruits of our monetary subsidies because we are disconnected from all the people around us we lack the positive stimulation our brains require to tell us we made a good purchase with our taxes.
The artist isn't implying that the increases are unfair, but is simply depicting the effects of the cuts.
I personally wouldn't be so upset if I were the woman.