When St. Joseph's Chapel in Greenwood, Indiana first invited the SSPX to the chapel, they did so on condition that any priest from the SSPX had to be ordained or conditionally ordained by an SSPX bishop. The SSPX agreed to abide by this during a one-year trial period after which the parties would part company or the chapel would be turned over to the SSPX.
The first priest who came to St. Joseph's, I am almost certain, was Fr. Horvath. His descriptions in these posts sound very much like the that priest.
In his first sermon he noted that he was ordained in the Novus Ordo. And, while he did not believe it was necessary, he accepted conditional ordination by the SSPX (I don't remember which bishop he said conditionally ordained him) in order to comply with the agreement with the chapel.