I'm probably wrong, but isn't real time not about how fast you can react but if you can react on a defined time constraint? Or is there a time threshold you can't consider real time any more like 1 day?
Edit: just like you said, 10ms, 1s, etc.
The time depends on your problem. The real time is more about bad things happen if you don't respond on time. If you click on a webpage and your browser times out loading it is a real time failure, but the failure isn't bad enough that anyone thinks of browsers as real time because the failure isn't really harmful.
For what I see from the discution it seems to be more a practical decision to not use real time resources and techniques for much higher times. So 1 day for example would be a waste of development time to try to use real time, you could use alerts and background jobs to fix issues. But when you reach shorter and shorter timeframes and bad things can happen a real time approach starts to make more sense.
Now, some parent comment mentioned RTOS. Maybe for a real time OS there would be a practical hard upper bound. But for real time systems in general this upper bound would be totally domain specific.