Yes, generally speaking when I'm reading something I'd hope that my mind is doing some interpretation. It would be a rather difficult activity otherwise.
Agreed...the tricky part is realizing that it is doing interpretation, and realizing that what it ends up sending you is not reality, but an interpretation of reality, which is what you are discussing here (or all of us are discussing, in most any thread, or in life in general), as if it is reality itself. And then we're surprised when there are disagreements!!
The beauty of the mind though: even though it is doing this (manufacturing an interpreted version of reality in realtime), this tends to be an unpleasant idea to most people....but luckily, it also has the ability to interpret that away, allowing us to have our cake and eat it too (although this feature has some downsides of its own)!