The short and simple answer to the age old question “does HDMI cable cause lag” is a big no. This is a myth that has been busted time and again. HDMI cables do not cause any lags. The input lags you experience are mostly caused by the TV, monitor or the projector itself.
Does length of HDMI cable affect performance?
Can HDMI cables be too long?
Like many audio, video, and data cables, HDMI cords can suffer from signal degradation at longer lengths—50 feet is generally considered the maximum reliable length. And it’s rare to see an HDMI cable longer than 25 feet in a store. Even online, cables more than 50 feet long can be hard to find.