BBC iPlayer does this for some content, I don't know if it's ever on movies though.
He talked about subtitling at some point, and I was surprised how cheap subtitling services are. I think he went beyond the price he mentioned, but it really made me question why big, profitable YouTube channels aren't spending the small change to do at least native language subtitles that Google can translate, instead of relying on YouTube's terrible algorithm
That said, Whisper seems to generate quite good subtitles that take short pauses for timing into account, but they're obviously neve going to be as good as a human that actually understands the context of what's being said.
With the SRT file format for subtitles, I think, there's no reason why one couldn't make groups of words appear as they are spoken.
Actually, I have to do the same thing when generating the dubbed voices. Otherwise it feels as though the AI voice is saying something different than the person in the video, especially when the AI finishes speaking and you still hear some of the last words from the original speaker.
Assume 2 dramatic stops in an English sentence, and observe Turkish version. You can "I will.. go to.... the cinema" "Ben... sinemaya... gidecegim" (I .. to the cinema.. go)
I am sure there are smarter examples.
I love watching movies in the original language, but this is something I hate as well, but something that can be avoided.
Some movies get it right, though. The timing, just the words that are spoken and even different colors for different persons speaking (very rare, cannot even remember where I have seen it). That should be standard, but with most movies you can be lucky if the subs even match the plot and do not reveal too much.