I've had exactly the same problem. I have two new units and I guess enough time had gone by that one battery needed replacement. The two units are on two levels open to a common cathedral ceiling room. I could not tell which unit was the problem. I thought taking the battery out would make the noise go away and tell me which battery needed replacing, but it seems they have a rather large backup cap so that even without the battery they would continue to chirp every 10 minutes. What a PITA.
I'm not sure how an LED would help. You'd have to be looking at it when it went off. Rather they need to do what one of my very old units did - it had a button to test the warning buzzer. If you pressed that when the battery was low, it would also sound the chirp or something like that. Too bad that unit went bad a decade ago.