I noticed in an image that you have the Roombook extension. One aspect of Roombook is about getting Areas of the rooms. I reached out to the developers to see if they were aware of any issues. They are not aware of any issues but are investigating. I'll let you know if we learn anything.
We found something that may help. Your video, on the command line you have only one line of prompt history showing. So when the AREA command goes to report the AREA you cannot see it. The command tries to display the total area at the mouse crosshair. Then when Dynamic Dimensions are enabled, it overrides that pop up at the crosshair and so you end up not observing the Area reported anywhere.
So turn off Dynamic Dimensions down near the Osnap toggle buttons. On the command line palette, is a wrench symbol containing the command line settings. In the settings is "Lines of prompt history." Default value is to have 3 lines. Let's see if those changes help.
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I have the same problem in AutoCad Architecture, in both version 2012 and 2013.
I can't get the area-command to terminate. I do not have dynamic dimensions enabled.
Any solutions yet?
I have overcome the problem by drawing polylines and taken the area out of these, but this is not very satisfactory...