I knew the Cristo Rey crucifix existed WAY before the Novus Ordo, though I haven't immediately found a history of it. The picture below is from St. Joseph's Church on Capital Hill in Seattle. The parish was established in 1907 and the current church built in 1930, dedicated to Christ the King. My parents were married there in 1950, I and my siblings were baptized there, my maternal grandparents and several other maternal relatives have been buried from this church. I'm sorry I haven't found more of a close up (I hope to take a trip to Seattle in September and will try and take one) but behind the High Altar is a large mosaic of Christ the King flanked by St. Ignatius Loyola and St. Francis Xavier. Below the image of Christ the King and above the tabernacle is a Cristo Rey crucifix. At one time there was a large and very traditional crucifix that hung on the side wall on the epistle side.

Thank you. That's interesting.
At a time in history when it's important to make a clear distinction against modernism and especially the need to elicit contrition for one's sins by gazing upon the crucifix, contemplating Our Lord's sufferings and uniting our sufferings to His, that doesn't seem like a good choice for a new SSPX chapel. :/