Am I correct in that PADI eliminated the Fin Pivot skill from the OW course a few years ago?
Yes and no.Very possible. When I was actively teaching, I found it worked very well, especially to show the effects of breathing on buoyancy.
The purpose of the fin pivot from the very start was to introduce the idea that inhaling makes you more buoyant and exhaling makes you less buoyant. That's it. The act itself has no application in diving.
That simple, no-big-deal exercise became a monster. People started teaching the fin pivot as a critical skill, and it became in many cases by far the hardest part of the class. In the classes where I first assisted and then taught, it took forever to get everyone in the class doing it perfectly, with the fin tips on the floor, the legs perfectly straight, the arms folded on the chest, and the diver rising and falling without touching the floor and without losing touch with the fin tips. Instructors simply lost sight of what the exercise was supposed to do, and that is why PADI ended it.
It was replaced with an unnamed exercise to teach the student about the effect of breathing on buoyancy. You can do something like the fin pivot--the point is not to get all anal about what it looks like. It is not a skill that needs to be taught to any standard. In fact, if you taught your classes as I did, with students doing the first skills neutrally buoyant in prone position with legs or fins lightly touching the floor, the students have it all done before you get to that point in the next CW dive.