Here's the raw footage of the card as it appears on my betatape, followed by the one on the DVD I made of it. As you can see, there was a slight misalignment of the card too, in the original, I just cropped it off for the DVD.

Before:

After: (Windowboxed, centered, cropped off some noise, anamorphic)

It still doesn't explain how the alignment of the card and the actual film could be so different on the same reel. The Fox logo and the Lucasfilm intro are missing from my tape. Were they omitted at the telecine stage or later? I think we're missing some pieces of the puzzle.