There's lots of practical implications to measuring in halfs indefinitely. See my response to the sister comment. Hex exists because binary switches are simple to manufacture and simple to reason about, but we've been halving measures since time immemorial and will continue to do so, even if our systems make it a bit difficult.

Binary search trees aren't just base two because we liked the number. Base ten, on the other hand, is just a number we picked and it happens to check a few boxes too.