The actual pictures show what appears to be the same ladder. It looks more likely that the artist took a little artistic license. Wood can last a very long time in hot, dry environments. People get crazy over stuff like this, so replacements would likely be built to the exact dimensions of the original, whereas a drawing or engraving isn't going to be an exact replica. If the artist was a devout adherent with a religious/emotional investment in the issue, they'd probably have gotten the ladder details intentionally.
The artist doesn't appear to have been a zealot or invested in the mythos of the ladder. He's a neat character in his own right:
https://en.wikipedia.org/wiki/Louis_Haghe