Deeper voices don't travel greater distance, it's quite the opposite. Of course, that quibble isn't the salient point -- the salient point is, the Neandertals didn't go extinct, the Neandertal are among the ancestors of most of the people in Eurasia and a good many outside (thanks to the Great Migration / Age of Sail).
Fact: Low frequency sounds travel further. Think: fog horn.
And how does <4% Neanderthal DNA make Neanderthals “ ancestors of most of the people in Eurasia and a good many outside” It’s an insignificant amount.
Show me a present day Neanderthal tribe. They’re extinct.