Actually, the church's policy is to help everyone regardless of their religious affiliation, and anyone can get food and other help from the storehouses mentioned in the article. The help sometimes includes even cash, but it's far from just a spend-this-however-you-want blank check. That money typically comes from local donations, so the people administering the relief have an obligation to be careful about it.

No doubt there are some inconsistencies in how it gets handed out, and it's unfortunate that apparently some people had some experiences that included deviations from the church's policy, but for every person in that article with a bad experience you can easily find 1000 people who were blown away that the church helped them without any sort of pressure to join that church.

(fwiw, the Salt Lake Tribune has been writing stuff like this for 150 years - sometimes it adds value, but often it's disingenuous)