In general there's no such thing as "DNS backup". Most clients just arbitrarily pick one from the list, they don't fall back to the other one in case of failure or anything. So if one went down you'd still find many requests timing out.
The reality is that it's rather complicated to say what "most clients" do, as there is some behavioural variation amongst the DNS client libraries when they are configured with multiple IP addresses to contact. So whilst it's true to say that fallback and redundancy does not always operate as one might suppose at the DNS client level, it is untrue to go to the opposite extreme and say that there's no such thing at all.
