CathInfo.com

No one can say they are postively invalid or positively valid.  This is the issue - doubt.

Yes, doubt, is the reason we avoid NO priests, and it is the same reason why they cannot be *automatically* conditionally ordained.

If you were an SSPX bishop and a defecting NO priest wanted conditional ordination, you could not automatically do that without risking committing a serious mortal sin, that of sacrilege - for both you and the NO priest.

You would need to first investigate his prior ordination to see if indeed he has to be conditionally ordained. That's just the way it works, and it works like this even if the last 10,000 defecting NO priests in a row all had to be conditionally ordained, until the Church comes out and says the NO Orders are null and void after the manner of Pope Leo XIII, as he did with the Anglicans, their prior Ordinations must be investigated in an effort to determine whether or not they may be conditionally ordained.

Yes, since the NO took over, we all *must* doubt the validity of the NO clergy, but it's a whole nother story when it comes to conditionally ordaining them - before any conditional or re-ordinations can be done, that prior ordination must be investigated.  

Monsignor Byrnes is New Rite.  There is an old thread out there about him.  I will search for it and edit this post.

https://www.cathinfo.com/sspx-resistance-news/major-change-in-ridgefield-new-principle-for-padre-pio-academy/msg455503/#msg455503

Here is the OP from your link:

Just received e-mail below from Msgr Byrnes.

Msgr Byrnes was ordained on November 15, 1986, by Cardinal O'Connor at Saint Patrick's Cathedral in New York City and has been in Ridgefield, CT, for approximately two years. Msgr. Byrnes has not been conditionally ordained since the SSPX has stated that Msgr's ordination was valid. I was personally told by two priests in Ridgefield that there is nothing to question as the SSPX's own investigation into the ordination confirmed that the matter, form, and intent were all valid and that I should not question this.

Why would the SSPX allow a Novus Order trained and ordained priest to be a principal?

I will still call and see if I can find out how they determined he did not need conditional ordination.