Hi, I created github repository (medved01x/skyscraper) with txt file - 1000 such puzzles
(full clues - no zeros added).

Hi, I tested about 30+ python3 solutions and most of them fail to give correct answer in about 1/3 of puzzles with unique solutions.
I currenty generated 700+ such puzzles (with full clues, but it easy to add some zeros to them), for which I'm statistically (very) sure they are really with only one solution.
One of them is [3,3,2,1,2,2,3,4,3,2,4,1,4,2,2,4,1,4,5,3,2,3,1,4,2,5,2,3], so I ask for somebody to try find more solutions for it and let me know if I'm wrong.
My solution (I hope unique) for this is [[2, 1, 4, 7, 6, 5, 3], [6, 4, 7, 3, 5, 1, 2], [1, 2, 3, 6, 4, 7, 5], [5, 7, 6, 2, 3, 4, 1],
[4, 3, 5, 1, 2, 6, 7], [7, 6, 2, 5, 1, 3, 4],[3, 5, 1, 4, 7, 2, 6]]).
Sorry for my English.