Ok disregarding the speed feats between the two characters, the only real logical reason has to be plot, because Minato was fastest out of the all them and yet he never had to worry about this "tunnel vision." Kishi thought it was probably logical to make a jutsu that would be more beneficial if you had a sharingan. It also allowed Kakashi to prioritize which one of his pupils he would have taught chidori to, he definetly reflected on the situation when Minato said don't use that jutsu again until you can develope a counter for it, and that counter was the sharingan, which Sasuke had, but we've never seen anyone else use Chidori/Rakiri/Lightning Blade other than for Sasuke and Kakashi. I don't know why this "tunnel vision" only applies to Chidori/Lightning blade other than for plot because even in next generation, the person who going to learn Chidori next in succession is Sarada Uchiha, who has the sharingan. Think about it really, Boruto was Sasuke's disciple and Sasuke was Boruto's mentor, and he didn't even bother to bring up teaching him Chidori, he just automatically went to teaching him the rasengan which I know because Boruto has an wind affinity and not a lightning one that we currently know of. So in conclusion, it's plot so chidori is basicaly restricted to Sharingan and lightning affinity users, you don't need the sharingan it's just suppose to help you with all honestly reflexes, the whole tunnel vision is petty tbh.