I use wired headphones to study with Anki (AnkiDroid) because I've found most (inexpensive) Bluetooth headphones require a second or two to begin playing. As I'm dealing with short audio clips, this use case necessitates restarting the "audio playing" situation every few seconds.
Maybe the app developers could "play" quiet audio between these short clips. But barring such a development, I'd like to know if higher quality headphones might suffer from less latency in this regard.