Texas...
You're correct... but it's still going to have to bond back with the Service if this daughter panel is to operate correctly.
It would also appear that a fresh GEC needs to be installed at the outbuilding...
If the outbuilding has Zero conducting paths back to the Service bonding would appear optional.
In which case one might think that the feeder could be treated as if it were a SDS.
If the feeder uses an overhead run then I'd expect bonding to be required.
