I had the same question as the OP, and just wanted to add my experience for posterity sake.
I use headphones almost exclusively for watching TV, movies, etc. 1) because the over the years I grew tired of my wife constantly telling me to turn down the volume while she's trying to sleep, and 2) because the level of detail you can hear far exceeds any conventional speakers in my opinion, especially dialogue.
With that said, I have use the Sennheiser RS 175 headphones for the last 2 or 3 years. I've had them connected to my Samsung TV via Toslink, and they've worked great, no complaints, except for one.... the build quality, especially for the price, is somewhat lacking. I already had to replace the ear cups one due to the fake leather flaking, and now the headband has finally started to flake (can't replace this). Also, in kine with the build materials, the Sennheiser RS series is starting to look a little dated, and are somewhat bulky.
The recent flaking of the headband fake leather, let me to figure it was time of a upgrade, after all, I've been using them like I said going on 3 years.
I've been wanting to make the jump, for watching my video, to bluetooth but the usual factors were still stored in my head from the last time I looked at headphones... the latency issue, audio quality, etc. I figured I'd give it a try, and if it didn't work out, oh well back to Amazon it would go, and I'd probably go with something like the Sennheiser RS 185.
***not to get side tracked here, but this is another reason I wanted to give bluetooth a try for tv/movie watching.... The sheer amount of options, build quality, updated technology, etc. that bluetooth has over a RF headphone is just stupid.... when the hell was the last time a quality RF headphone was released??? Like I said the Sennheiser line, which the probably the best in RF right now is starting to show it's age.***
Anyway, I got a pair of Sony WH-1000XM3. However, instead of pairing it with my TV's Bluetooth (witch it has), I wanted to make sure I was connecting at the best compression I could, so I also got a Oasis Plus transmitter, which supports aptx HD (and aptx LL).... so basically the little transmitter replaced the larger RF docking station, and is connected via a optical cable, and set to aptx HD. I know that LDAC is a even better codec, but as of right now, there are no LDAC transmitters, only receivers; once one comes to market I'll make the switch.
Now, my primary concern, the latency, turns out was all for naught. The audio appears to be spot on.... or at least to the point I can not detect it. I've done test on my TV with YouTube latency test, and also run the regular audio and Bluetooth audio at the same time, and it's all copacetic. Not saying this would be the case for everyone, or watching video on your phone.... but my Sony MX3's are spot on, and the detail in the sound appears to be even better than the RS 175 I replaced them with. Turn on the ANC and it's that much better.
Anyway, hope this helps.