Lmao threads really? In the same scan you posted of kakuzu restraining kakashi and choji and the rest of his team members we clearly see the threads are
fully restraining kakashi's hand's/arm area which would give sasuke the opportunity to use a simple chidori that already
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. Your not even thinking clearly tbh, sasuke can simply perform chidori nagashi if he just so happens to get restrained via threads which should take them off him similar to how he made deidara's clay snakes come off with chidori nagashi.
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Clay snakes reference^ and note he was able to run a current of chidori through Deidara's clay snakes back to the user which made Deidara's body numb and he collapsed. Going by that The last thing kakuzu wants to do is use threads to restrain Sasuke. I honestly list more counters to getting restrained by kakuzu threads, which goes back to chidori spear, sasuke can easily perform chidori spear if he gets restrained by kakuzu and catch him off guard quite easily. Or curse mark wings to fly out of the blast range from kakuzu's mask.
The masks arent touching sasuke before he can break out of the restraint of the threads, that's assuming kakuzu will even catch him.