I don't think so, because even when Sasuke clashed with Naruto at the valley of the end with Chidori, he used his palm
I guess, Kishimoto just draws it how he likes just to fit the panel.
Did you guys know Raikiri is just a more focused Chidori that just requires better chakra control. They are the same thing.
I think it's been said enough times, Kakashi just has a higher mastery of Chidori. Chidori is a piercing jutsu. Kakashi's is advanced to not only be able to pierce, but also to cut. Now this is base Chidori. While Kakashi focused on increasing the power of Chidori, Sasuke focused on increasing its versatility. So in raw strength Kakashi's is stronger than sasuke's. Sasuke just has more uses for his.