I'll argue it. I have seen exactly zero evidence that any optional axle was provided in the 1977 Bronco. Nothing in the MPC, nothing in the Service manual, nothing in the warranty literature. There is no way that the Factory could "sneak" a 31 spline axle into a 77 Bronco. Just like the Hybrid D44/D30...there would have to be a DSO, along with a Bill of Materials change, and some way to procure the item. Logistics and MRP would be a nightmare. The Service Department and after sales support would be problematic. Can you imagine being in the service department at Ed Chovanes Ford, and some guy needs a warranty axle, and you pull the shaft and find it is a 31 spline axle with no part number, no source, no cost, no reference material, no corresponding axle side gear? It would be impossible to service. It just doesn't happen.
The general public just doesn't understand what it takes to run a manufacturing plant with a 90 second TAKT time. The engineering that goes into a running change at the plant level is significant. The only wierd stuff that happens is stuff that could be done by human error. NOBODY wakes up and goes to the plant and says: I'm going to visit my Tier 1 sub-assembly factory, forge an axle shaft, machine it to a new specification, build it to a undefined length...add it to a normal RPO delivery, get those shafts married to a non-conforming differential from another application, and create a new axle assembly. I will have this axle assembly identified with a standard Ford part number, and ship it on the same purchase order (or factory work order) and I will do ALL of this at no cost, with no change to any logistics, inventory, FIFO, or buffer. No one from Engineering will know. No one from Quality will know. Just little ol' me.
Even if
@crashnburn did find one in a 77, it is FAR more likely that someone in the warranty department or aftermarket did an upgrade. It is possible that Ford sent a Bronco to a specialty service provider, like Shelby, Stroppe, KarKraft, etc. But there would be documentation. People don't do work without getting paid. So I'm going to say it didn't happen.