Maybe or maybe not. Nobody's perfect. Again, in a time of crisis, people tend to focus on their friends over strangers.
Jacqui was no stranger to Dale by that point, as the group had been together for some time. Remember, Dale's the guy running around trying to preach unity (his kind, in any case), so for Mr. Let's Preserve Humanity to focus on Andrea and not try to plead with Jacqui as well makes him appear single-minded (like a desperate teenager who gets tunnelvision), as Andrea was the target of his personal interest.