There are several extensions that add text-labels to faces showing areas, there are also volume text tools look on Extension-Warehouse or the SketchUcation PluginStore…
e.g. mine are:
https://sketchucation.com/pluginstore?pln=TIG_AreaTextTag
https://sketchucation.com/pluginstore?pln=VolumeCalculator
hello,
if you right-click on the face and pick area > selection it’ll will pop a window in which the data can be copied
Both workaround are good. 
But it doesn’t make the fact of the bug any less. 
Same issue here! I use faces overlaid on my floorpans to determine square footages for my cover sheet in Layout. It was so easy to just select my areas I need totaled and just copy the footage from the entity info box. When you do it a hundred times a day, right clicking on each area to be able to copy the footage over adds a lot of wasted time to productivity! And copying it reduces the risk of making a mistake vs translating it visually (when you’re dyslexic!).
Definitely a bug since it works OK with SU 2022.
IMO the area text should be greyed out but allow copying.