You brought nothing new,
>His precognition is superior (knows what others will do before even they know it)
That is literally what Sharengan do
It is not. Even though it allows a person to do what the enemy wanted to in advance, it cannot do so to the extent of them not even knowing they were going to do it.
>Knows the weaknesses, thoughts, power, etc. of enemies by glancing at them).
Again, vague.
To what extent can he read? Can anayze an abillty he never seen in his life? What abot abilltes that doesn't use swords?
Not particularly vague, no. He can read minds. Just outright, his observation is so good that he knows what you are thinking. He does analyze techniques he's never used, it wouldn't even be mimicry if he's simply expanding a skill he already had. And he can mimic things like footwork, and things like trackless step are considered part of the "skill" category that people as skilled as him can see through, so as long as its physical and he can do it, he should be fine with copying it.
Sasuke is also pretty intelligent and cool headed and able to analyze and figure out his opponents tricks and fightstyle pretty quickly,
That is... not comparable to just learning a family technique when the person you are copying hasn't even learned the majority of the technique. Sharingan precognitions is good, but beyond that Sasuke's skill in battle isn't outright supernatural. He can't look at the Rasengan, and then just understand it was being prepared to get an elemental transformation and figure out the Rasenshuriken.
he will also analyze Ikki's style and figure out the best approch for the battle just as his oppoent is doing so.
Now
that is a baseless assumption. If you meant to my theoretical "battle without other powers", no. Stella is a level-headed, talented fighter who observes others and fights accordingly, 90% of the opponents he fights are. What Sasuke can do isn't that special at all. He is skilled, but besides his eyeballs he isn't skilled to the extent of being unbelievable.
But if you mean with powers, that's not how it goes, because a hundred-time speed amp means as soon as Ikki understands Sasuke is way stronger, he will go in and one-shot. It's not a battle where he can afford to take his time and analyze.
Sasuke has several ways to end the battle for sure, meanwhile worse Kirito has to be given the beinf of the doubt and write a script around the fight so he doesn't get one shotted.
The amount of ways one can win a fight doesn't particularly matter as opposed to how easily they are attainable.
So really, let's go through them,
Amaterasu. It's not an instant kill move, if Ikki gets hit, he
will use Shoura. The only way he doesn't kill Sasuke first in that case is if he gets hit in the head or legs with it.
Genjutsu is a fine way to do it, but Sasuke doesn't spam it at all, and even if he does there is very much the potential he goes for one that knocks out the opponent. After all, why would he misdirect them when he can as easily knock them unconscious and spare himself the effort of stabbing them to win? If he does that, then Ikki just keeps fighting as if nothing happened.
If he uses Chidori, Ikki simply stat amps and cuts his throat faster than he can dodge.
If he uses fireballs, from a twenty-meter distance, Ikki gets plenty time to stat amp.
If he tries to set up Kirin, he just gets killed before he gets it off.
If he goes for a sword strike, Ikki can deflect stuff a tier higher than Itachi, and just amp as soon as he feels how strong he is.
Shuriken and kunai are something that both can predict too well to be useful for anything but a distraction, a stealth attack, or to test the waters.
For all Ikki has one way to kill Sasuke, a hundredfold stat amp in speed and strength both is one hell of a way to do it. The fact that he can do it on thought means that Sasuke has to either catch him off guard - and Ikki has outright spider sense - or that he needs to hit Ikki with something that he can't react to, which are a well placed Amaterasu or the correct kind of genjutsu.
I know people are eager to knock down the meme, same way they enjoyed the idea of Dragon Ball being stronger than Demonbane and the like, but Sasuke isn't going through this with an "is this a stomp?". If he starts off with the wrong power, he dies.