It's not really about "inflation" in general, but about certain areas in particular. Inflation as measured by the consumer price index has actually been fairly moderate for well over a decade; it's actually below the target inflation rate of 2% most of the time.

The article is about certain components that are rising faster than inflation. Housing and medical care are included in the CPI[1], but perhaps they should be weighted higher. (Shelter is around 30%, medical care 8%). Things like student loans don't figure into that at all: tuition costs do, but not the accumulated weight of servicing the loans. The weights are kind of an interesting read.

A lot of it is about the way it impacts people disproportionately. The inflation number lumps a lot of things into one average, but a lot of costs hit specific people and don't affect others. If you don't have child care costs or student loans, you are probably enjoying the soaring economy. But those who do are getting hammered.

[1] https://www.bls.gov/cpi/tables/relative-importance/2016.pdf