The sad fact is that there was a time in the early Church where the link between life and liturgy was vibrant, real. If that were still true today, then the proposals in the article for a liturgy of healing would have some weight.

For too many places today (and from personal experience, that definitely includes the US today), liturgy means following the rubrics ... no connection with life.

But not just the US. 

[Just by the way, watched the televised Mass from La Sagrada Familia for the victims for the Las Ramblas terrorist attack, where it was abundantly clear that the MC was totally consumed by making the rubrics happen, but in a way that shows no respect for what the liturgy actually is about (agitating to get the acolytes to prepare for the Gospel during the second reading). Consumed by rubrics. Wanting to keep the show moving on. Whereas the liturgy says: this is a reading that everyone should hear. That means that no one does anything else during the reading but LISTEN!]