New publications that pop up would benefit from better citing the sources of their articles, because then when an article they write is shared and someone says "I have never heard of that publication, I don't trust it", the person that shared the item could refer the other person to the sources that were being cited instead of arguing about the trustworthiness of the publication itself.

As for established publications; from their point of view they can probably manage fine because they have a good reputation already, but I think it would benefit society at large if they too got better at citing sources so that we can rely less on reputation alone.

Reputation is a proxy for trustworthiness, but greater source transparency allows for the trustworthiness of individual articles to be judged with less work and thus less time needed, which means that deliberately misleading articles, factually wrong information and honest mistakes can all be caught sooner.