I am sure that The Tablet did not figure high in the discussions during the Ad Limina visit but I would love to know if it was mentioned.
I am not sure what that Archbishop meant by "support or promotion", presumably it didn't include selling it at the back of his Cathedral, or bishops, including the Nuncio, giving it exclusive interviews. If the bishops are going to give a sign that they take the Pope seriously then we should expect a certain pruning in the newspapers and periodicals at the back of our churches, we should also expect complaints about dissent to be taken seriously and investigated.
If the full saving message of Christ is to be presented effectively and convincingly to the world, the Catholic community in your country needs to speak with a united voice. This requires not only you, the Bishops, but also priests, teachers, catechists, writers – in short all who are engaged in the task of communicating the Gospel – to be attentive to the promptings of the Spirit, who guides the whole Church into the truth, gathers her into unity and inspires her with missionary zeal.If The Tablet or any other newspaper or magazine doesn't do this, then it should not be made available for sale at the back of our churches, nor be given priveleged interviews and information and certainly not be the medium through which bishops or even the Nuncio expresses his views.
In a social milieu that encourages the expression of a variety of opinions on every question that arises, it is important to recognize dissent for what it is, and not to mistake it for a mature contribution to a balanced and wide-ranging debate. It is the truth revealed through Scripture and Tradition and articulated by the Church’s Magisterium that sets us free.