I suspect "Kafkaesque" is being used to refer to the healthcare system, which is what the GoFundMe was originally for.
My apologies, I misread the original article and I was left with the impression that the GoFundMe was only for end-of-life and funeral costs. I must have missed the standfirst, which is where it was described as a "cancer fundraiser".
Based on my understanding of Kafka, to fit the definition, funerals would be essential goods whose costs should be socially guaranteed. In reality, a funeral is a discretionary event about the deceased and for the living. Crowdfunding for the benefit of the crowd is not an inversion of responsibility, it's simply voluntary collective spending.
You could say it's an inversion of societal norms, but that's not Kafkaesque.