I listened to about 30 minutes of Fr Hesse and I'm more confused now than before because he contradicts himself (in a way). First, he says that the new rites of ordination/consecration are valid because they say essentially the same thing as the old rite. Ok, that's fine. Secondly, he goes on to give all these examples of priests (including himself) who were ordained in the new rite and says they are priests. Ok, that's fine. But...he specifically mentions that all these priests (including himself) were ordained by OLD RITE bishops.
The contradictory part is he then explains that there are MANY (he said Rome is filled with them) new rite bishops who are "crack pots" who think they are bishops, but are not. So how are we to know who is/isn't a bishop in the new rite? How can he know they aren't bishops, if the new rite is valid? He doesn't explain this at all, and this is a problem.
Therefore, I must conclude that if there are many new rite bishops that aren't bishops at all, then the ordinations of priests TODAY are doubtful, since those bishops who ordained them are not bishops. And I'm back at square one - lots of doubt.
If the sspx has some way to find all this out, then I applaud them. As far as I can see, they don't give the details of their investigation process on the web (which they should...there's no reason it should be a secret. It should be a public investigation process since the ordination/consecration is a public process as well), then I guess their process is super secret. But that's unnecessary, since the faithful have a right to know what's going on.