An HDMI cable is simply a glorified USB cable. If you run your printer with a cheap USB cable do you get fuzzy prints with the black not very black etc? No of course you don't!
Someone far more qualified than me once said that if you stick a piece of spaghetti into the back your TV and you get a picture you won't get a better picture by using a £100 HDMI cable.
I bought a cheap as chips HDMI cable for £9.99 and had white speckles when playing a movie in 1080i.
I swapped it for another,same thing.
I bought a Panasonic at £19.99 and hey presto,no snow.The fact it is next to 1/2 dozen power cables and scarts suggests that there was an interference issue and the more expensive one had better screening.