I do, all the time!
I even touched on it in a blog post, https://allaboutleeth.blogspot.com/2016/10/where-ideas-come-from.html, where I wrote:
One clue was a fascinating documentary some years ago which mentioned an (Italian? French?) researcher’s idea that the same mechanism the brain uses to form dreams is at the root of our consciousness itself, and our thought processes.
Another clue is our ability to create mental models of other people - what they’re thinking, how they’ll react, how they’re feeling - and the discovery of mirror neurones, that let us experience the pain or joy of other people, as if whatever is happening to them is also happening to us. That all ties up with our ability to form social groups, and through that, to survive. The evolutionary pressure that drove that development is very clear. So our ability to construct models of other people, good enough to allow us to hold imaginary conversations with them, is another large piece of the puzzle: we really are very adept at creating hypothetical situations, populating them with imaginary or “real” people, and then letting them act and react with each other in our minds. That’s a big part of the answer.
So according to my idea, more empathetic people should have this happen more often.