The non strict usage is far more common then the term of art. One would be well advised not to assume "real time" is being used as a term of art unless specifically called out, or clear from the context.
I'd say common usage of the phrase "real time," means with respect to human perception, and that is how its being used here.
So do you consider YouTube a real-time system? After all, images are moving on your screen "in real-time" from the user's perspective.
It seems to me that these are all streaming systems, and when the data is "live", then it's "live streaming".
Even colloquially, I hazard that "real-time" has some implication that there's some correspondance between your temporal reference frame and the original temporal reference frame. I think the engineering definition just made that correspondance precise.
Yes people do say "real time playback" with respect to video. Generally, however, that is only noteworthy to call out when its unusual. Such as "real time 16k playback."
It's been 5 years since I've worked in that industry, but I still view the use of "real-time" the same way and can understand some people's issue with the term in this case.