Although Fr Pierre-Marie Kergorlay's study of the new rite of episcopal consecration remains foundational for many, his own community appears to have moved beyond it.
Though it does not detract from your thesis (I think you have succeeded in demonstrating your point about Avrille quietly moving away from Fr. Pierre-Marie’s study), the 2019 Avrille article is mistaken when it asserts:
“As to the bishops consecrated in the rite of Paul VI, the only known example of a bishop who joined Tradition is Bishop Lazo. This return to Tradition took place after the death of Archbishop Lefebvre, but the SSPX has prudently kept away from ensuring [sic] him about episcopal functions.13”
The SSPX did not ensure +Lazo was not entrusted with episcopal functions, for as +de Mallerais stated:
“Another thought: Mgr Lazo has already confirmed “quite a few” [people] with us. Obviously, this is valid because “the Church supplies” (canon 209), because a simple priest can confirm with jurisdiction. And it is difficult to see how to make our doubt known to Mgr Lazo. So silence and discretion about this, please!”
Though it does not detract from your thesis (I think you have succeeded in demonstrating your point about Avrille quietly moving away from Fr. Pierre-Marie’s study), the 2019 Avrille article is mistaken when it asserts:
“As to the bishops consecrated in the rite of Paul VI, the only known example of a bishop who joined Tradition is Bishop Lazo. This return to Tradition took place after the death of Archbishop Lefebvre, but the SSPX has prudently kept away from ensuring [sic] him about episcopal functions.13”
The SSPX did not ensure +Lazo was not entrusted with episcopal functions, for as +de Mallerais stated:
“Another thought: Mgr Lazo has already confirmed “quite a few” [people] with us. Obviously, this is valid because “the Church supplies” (canon 209), because a simple priest can confirm with jurisdiction. And it is difficult to see how to make our doubt known to Mgr Lazo. So silence and discretion about this, please!”
https://www.fathercekada.com/2013/11/28/sspx-bishops-on-bishops-and-bishops/
I'll add that in as a footnote.