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To me, the painting with the halo seems like the one that came second, because the face is so compelling that people would have wanted to isolate that portrait away from the story of the temptation.

I found this even less cropped version, which makes it more clear that Satan is offering to make Jesus a king.

And then I found a Zazzle page where a graphic designer sells stationery, greeting cards and prints copied from fine art works. I don't think he altered the original, since he included these somewhat confusing notes about two versions:

Jesus Christ 1888 by Georg Karl Franz Cornicelius,
Berlin, Germany.
Original lost or destroyed in the WWII bombing of the Berlin National Gallery.
Original was Temptation of Christ by Satan. Apparently, wrongly attributed to El Greco, Ivan Kramskoy, Rembrandt, or Karl Bryullov.
Original possibly taken by Allies after WW II, but unknown location, yet prints of it survive...
Another version of this painting was done by a contemporary of Kramskoi ... the Hanau German artist Georg Cornicelius 28 Aug 1825 - 9 Dec 1898 ... in 1888 ... instead of the halo and blended background he painted Satan tempting Christ with a crown behind Christ and called the painting Christ Tempted by Satan signed G. Cornicelius in lower left corner below the elbow.
...the original work of both these (?) was believed lost during World War II.