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The proposed solution at gerrit #14637 only deals with the case where the same person edits their time and then watches the overview on the same dashboard. It is unlikely to be a general use case in my opinion.
Using Realtime (like for Kanban) would adress many more use cases: people editing their times would be seen directly by the person watching their timetracking overview.
But even while I am writing this, I wonder whether we actually need reloading or "live-update" at all ?
According to me, it seems overkill. I wonder if there are actual use cases where just hitting F5 would not do the trick. Do people really watch their widget for extended periods ? Do we really want to maintain widget-reloading (or realtime) code if it's not needed ?