There are plenty of Trad nuns. Why does Our Lady not appear to one of them?
That way we would know it was true.
I think it is perfectly reasonable to doubt that Our Lady would appear to a novus ordo nun, if the novus ordo is "a bastard rite" that deliberately weakens the faith of Catholics (we know with human certainty it does that).
In addition the statue that is claimed to have wept miraculously at Akita is that of Our Lady of All Nations which is objectively speaking wrong on many points. Here is one of those many points.
“THE LADY OF ALL NATIONS ARE THE LAST AND FINAL APPARITIONS OF OUR MOTHER TO THE NATIONS OF THIS WORLD.” (http://www.ladyofallnations.org)
To believe that these were "the last and final apparitions" of Mary to the world, one would have disbelieve the apparitions of Mary at Akita. Therefore, the claim that the apparitions to Ida Peerdeman are the last and final are false if Akita is true.
So Mary would either be making a statue of a false apparition weep miraculously, or, they are both false.
They cannot both be true.
A third possibility is that Our Lady wanted to appear in Japan, a nation which happens to be lacking access to the TLM. And She wanted to appear in a convent, which happens to be lacking any other statue of Our Lady.
What is said by Our Lady at Akita is much the same as Fatima and La Salette.