I honestly never think about my batteries running out - I get a tone about an hour before they are going to die (usually I find I have more like 2-3 hours) and either I change them or ignore it if I’m not doing anything that needs uninterrupted hearing. But I’ve had pretty severe and profound hearing loss my whole life so I’ve been managing and passing for a long time. With or without my HAs I need captioning to consistently understand others in a meeting or presentation so if my HAs die I always have the captioning in place anyway. Prior to live captioning becoming readily available in the last few years and reasonably accurate everything was a lot more challenging and I really relied on my HAs always being on.
I also have no qualms changing my HA batteries in public if I really need to though usually I step away if possible - I’m always surprised at how little other people notice.