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Description
This is especially bad for the last line, when it becomes invisible. But on any other line you also want to see it in the correct place for editing.
I would also put name tags ABOVE the line which is being edited, so that it does not hide any context, and for some reason I think that it used to be the case, but maybe I am imagining it.
The other direction works fine for me - cursor from Firefox is displayed in the proper place in Chrome.