I think eye contact is probably more important in most non-classical genres. Everything in a (modern) classical performance is very rehearsed. Deviating from the score is unheard of. Interpretation is one thing, but never do they decide to throw in a bass solo.
In pop/rock/funk/blues/jazz/country/folk/metal/everything, it's common for a band's instructions to be "sit on this 2-bar vamp until i give a signal". And that signal needs eye contact to acknowledge the receipt.