Your solution sounds very nice for appropriate headphones. I second you suggestion of using the optical output of TVs - my ancient Panasonic flatscreen TV has an optical output - I connect a TV Adapter for my hearing aids to that output.
If the goal is to stream to hearing aids rather than headphones, typically the manufacturer of the hearing aid offers a TV adapter that may stream directly to the hearing aids or to an intermediary device that sends a different signal to the hearing aids. For example, my Oticon OPN S 1 aids work with a TV Adapter 3 from Oticon with a specified latency from the audio input to the TV adapter to the output of the hearing aid receiver. That latency is 25 msec for analog audio, 28 msec for optical (TOSLINK), and 45 for Dolby Digital (TOSLINK). I found that in the technical reference document for the adapter - the information is not in the user guide.
Looking for the aptX low latency specifications, I find at apex.com a specification of “Approximately 4 ms latency …”. So it appears that the HA manufacturer TV adapters achieve similar latency to aptX low latency, probably by running proprietary protocols over the same frequency band as Bluetooth. Searching the FCC database one finds that the Oticon TV adapter runs both Bluetooth and another radio in the unlicensed 2.5 GHz band. One nice feature of the Oticon adapter is the optical output it has so you can insert it between a source like the TV and another audio output device like a sound bar.
I have seen reports of really long latency over typical Bluetooth (hundreds, not tens of msec). Many inexpensive Bluetooth devices don’t specify latency and that may mean it was not a high priority.