In one of his talks, Fr. Hesse talked about his NO ordination, saying:
"...I have been ordained, unfortunately in the new rite of ordination, but thank God in Latin, everything strictly by the book and +ABL said that would be valid, +Fellay said it's valid and Fr. Franz Schmidberger who is my present superior in Austria says it's valid, and +Williamson said there's no need for conditional ordination..."
Oh great, the new rite of ordination was said in Latin, wonderful. This is no different than the New Mass in Latin, the new rite of episcopal consecration in Latin, or for that matter let us read the New Code of Canon Law in Latin. The words in the new rites do not signify what they ought to signify. The sacramental words do not signify what they once signified under the older traditional rites.
When I was a seminarian under Bp. Williamson, he insisted that Fr. Brian Hαrrιson be conditionally ordained. Fr. hαɾɾιson was ordained by Card. Cody with the new rite; and Cody was a valid bishop. I do not see that Latin makes any difference here.
And if what Newbie says is true, that Fr. Hesse received conditional ordination one year before his death, this makes things more bizarre. This means that Fr. Hesse entertained some form of doubt. I am not sure that the story is true though.