here is what I think so far:
logical intelligence 9/10 .. a basic part. seeing where pieces can be placed or not - even with many interdependent clues the higher the logical intelligence is.
spatial intelligence 6/10 .. not as impactful, but helpful especially in Jungle with lots of places and directions.
when I include
having a clear view here, the score increases to 8,5/10 .. to see a large part of the field and the clues is valuable for speed as well as correct solves.
intuition 8/10 .. connected to game experience - it is essential for me, gets you very far (in hard+extreme) especially for being fast. but not consistently reliable for complete solves.
imgination 7.5/10 .. important especially in harder levels. makes you approximately see where the solution goes and have less wrong/futile attempts. can be to some degree compensated by other skills.
related:
thinking speed 6.5/10 .. always kind of important. can max out the effect of the other skills.
reaction time 3/10 .. it applies in every puzzle, but only slightly, especially in hard/extreme
fast/precise clicking 6.5/10 .. always helps in easier levels; in others at least a bit. the more equal the other criteria, the more important it gets.
patience 4/10 .. if only hard/extreme levels were considered, the score would be much higher (though the actual dominant skill might be others like imagination). in my impression looking at the puzzles and thinking a bit for the best/correct moves is underappreciated. the more proficient you become there, the less attempts you will need on harder puzzles long term, consistently.
luck 3/10 .. with the feature of automatic solution evaluation, it is not insignificant - to just 'randomly' hit a correct solution early (part of it might be thanks to intuition). still, the better player will win a single match much more often, let alone a series of matches.