What works best will undoubtedly depend on one’s hearing loss, brand/model of HA’s, type of domes/molds, etc. But I have the ReSound Quattro 9 61’s. I just got a set of wireless/wired noise-canceling headphones (happens to be Microsoft Surface Headphones). The quality and quietness of the sound delivered by the headphones to my ears and HA’s is far better than the sound delivered directly to my HA’s by streaming with either the ReSound Phone Clip+ or the Multi-Mic. I should imagine that the Multi-Mic has sound as good as the TV streamer since besides being a remote microphone it can serve to deliver sound from telecoil, line-in, or FM. Also, since ReSound accessories are expensive relative to premium noise-canceling headphones (1/2 to 2/3 the cost), going for the better sound from premium headphones is almost a no-brainer (now that I’ve just tried it) compared to the cost of the ReSound accessories, which still have their uses. I should imagine from the reviews that I’ve read that premium regular wireless/wired headphones would be even better if you didn’t need the noise-cancellation features as I do.
Another good aspect of the premium noise-canceling headphones is that you get a lot more battery life out of the headphones than a ReSound accessory. My Phone Clip+ and Multi-Mic each are only supposed to get about 6 hours of streaming time. My Surface Headphones get 15 hours because Cortana is on all the time as a voice-assistant. Bose QC35 II’s get 20 hours and Sony 1000 MX3’s get 30 hours. They all get even longer battery life used as wired headsets. I would say the main advantage of a ReSound accessory is its discreteness. You don’t have to traipse around with a big ol’ set of cans on your head.
But from now on, now that I’ve perceived the remarkable difference, my Phone Clip+ and Multi-Mic will be collecting dust except for those special situations where they work best or I don’t really care for the much better sound quality obtainable for me by over-the-ear headphones, which work great with my ReSound Quattro’s, my open domes, and my age/noise-related ski slope high-frequency hearing loss.
BTW, I’ve read a number of online reviews. I had reasons to get the Microsoft variant but almost all the reviews that I’ve read say that the Sony 1000 MX3’s, coming out in September, 2018, are the current noise-canceling headphone champs, both in sound quality and noise-cancelation. One relative disadvantage, a reviewer claimed, is that Sony can only be paired with one broadcasting device at a time whereas the Microsoft and Bose headphones can be paired with multiple devices (and in the Microsoft Android Cortana app, you can turn on or off the connection of all the specific individual paired devices through the software interface).