Yes, in the 1838 (and possibly the first?) performance of this transcription, the four pianists to play were Alkan, Adolf Gutmann, Chopin, and Joseph Zimmerman (Alkan's teacher).
Also, there were performances of it in 1845 played by Alkan, Zimmerman, Johann Peter Pixis, Napoleon Alkan (two of his brothers). This information came from William Alexander Eddie's book, Chapter 1, pages 7-9.
I can't find any information stating whether it was performed at his Petits Concerts or not, but it would not be a surprise to me at all if it was.
It would be a shame if it were never published... Knowing Alkan's surprisingly good talent with and his serious approach to the art of transcription, this would have been marvelous to hear!
But until we find it, we have Liszt's to enjoy. Or even better, with recordings and the internet, we can just quickly scan YouTube and find many recordings of both the original orchestral version and other versions.