It’s not a case of “better approval”. There’s a process that needs to be followed in order to have a bishop-approved or Vatican-approved apparition.
Of the two cardinals, one is from England and has no jurisdiction to be approving the visions of a visionary who was in Brussels. That would have to come from the Archbishop or Cardinal in charge of Belgium. The English cardinal can promote devotion associated with this person’s visions in his own diocese. That’s all he can do.
Turning to the other Cardinal who did have jurisdiction over Brussels, he apparently knew or at least received messages from the visionary during her life, but he died 20 years before she did and doesn’t appear to have issued a decision on her actual visions. None of the later Archbishops who had jurisdiction over Brussels have granted a formal approval to the visions themselves, which would mean saying that a supernatural event occurred and the visions are worthy of belief. It’s not even clear from what’s on the Miracle Hunter website whether they did a full investigation.
One problem I can see with getting approval for the visions is that Berthe Petit claimed to have received revelations from Jesus Christ. Apparitions or locutions of Jesus (apart from him being a baby in Mary’s or Joseph’s arms) are held to a really high standard for approval. The Church has only ever formally approved two apparitions of Jesus (the Sacred Heart revelations to St. Margaret Mary Alacoque and the Divine Mercy revelations to St. Faustina Kowalska). So the odds are very much against these visions getting a bishop approval or a Vatican approval. But one can still read the visions and pray the prayers, and also support Berthe’s cause for beatification.
