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Catholics have been known to pray both for and to the Holy Souls. In one of the writings of Archbishop Lefebvre he said that he passed on a relic of his late mother to someone who had need of supernatural help in some issue or another. This man John Armour was with the TFP for just six months, and he puts pen to paper about them. And about Professor Plinio!
About 20 years ago when Fr Schmidberger visited India he told us that some TFPers would treasure the soiled paper napkins used by Plinio's mother at receptions. 20 years later I would say that was because her goodness must have been there for all to see. Plain and simple! I would gladly have one of her napkins as a keepsake/relic.

This is the "litany" sung as a hymn to Dona Lucilia, the mother of Plinio Corrêa de Oliveira:
    This hymn came into public domain when it was revealed by Prof. Orlando Fedeli, a member of TFP for over 30 years, who asked Mons. Antonio de Castro Mayer for his opinion on its orthodoxy.
Lady Lucilia, pray for us 
Mother of Mister Doctor Plinio, pray for us 
Mother of the Doctor of the Church, pray for us 
Mother of our Father, pray for us 
Mother of the Unspeakable, pray for us 
Mother of all of us, pray for us 
Mother of the coming centuries, pray for us 
Mother of the Axiological Principle, pray for us 
Mother of the Temperament of Synthesis, pray for us 
Mother of all purity, pray for us 
Mother of the Trans-sphere, pray for us 
Mother of Seriousness, pray for us 
Mother of the Counter-Revolution, pray for us 
Restorer of Temperaments, pray for us 
Source of Light, pray for us 
Procreator of Innocence, pray for us 
Preserver of Innocence, pray for us 
Consoler of Mister Doctor Plinio, pray for us 
Mediator of the Grand Retour, pray for us 
Mediator of all our graces, pray for us 
Dawn of the Kingdom of Mary, pray for us 
Lady Lucilia of the smile, pray for us 
Lady Lucilia of Flashes*, pray for us 
Most beautiful flower of all, pray for us 
Our refuge, pray for us 
Our consoler, pray for us 
Our help in the Bagarre, pray for us 
Reason of our perseverance, pray for us 
Vase of logic, pray for us 
Vase of metaphysics, pray for us 
Martyr of isolation, pray for us 
Queen of serene suffering, pray for us 
Queen of loveliness, pray for us 
Queen of serenity, pray for us 
Lady Lucilia, our Mother and Lady, help us 
Lady Lucilia, our greatest mediator before the Virgin, help us 
(from Tradizione Famiglia Proprietà: Associazione cattolica o setta millenarista?, Rimini 1996, pp. 70-71)
https://ephesians511blog.com/2013/09/28/america-needs-fatima-a-cult-using-the-fatima-name/

I've known many TFP folks, including their leadership, and there's no sign of any cultlike behavior in them; they come across as very conservative Novus Ordites.

I repeat the question which you ignored: What has Tradition in Action  to do with TFP?

Cera, did you read the article published above?

Here is a relevant excerpt:

The cordial relations of both Atila Guimarães and Marian Horvat with TFP ceased when they published the book In the Murky Waters of Vatican II. There is no relationship at present – official or otherwise – between the two organizations.

2. Question: Could you explain in more detail what led to this rupture?

Answer: The main reason was that, given the accelerated destruction inside Holy Mother Church, Tradition in Action judged it necessary to publish the work of Guimarães analyzing Vatican Council II with the hope of changing the present day religious situation. TFP objected strongly to this action. ....

Why are you confusing the two organisations?
Do you understand the difference between and Offshoot and a Breakaway?