Here is another response from an expert in this field.
The map projection distorts the picture since it "flattens" the curved earth surface. And an additional "practical" issue is that unless you happen to carry a trammel bar compass with you that is about 2 to 3 ft long, you aren't going to get much of circle anyway, especially when the center of the circle may not even be on the map !!
That said, it isn't always necessary to have really accurate circles. If you are doing a 180-Minute dispatch on the N. Atlantic, it doesn't really matter if you have circles at all. There isn't much of any way that you can plot a track that gets close to the circle boundaries. But there are plenty of conditions where the flight track gets close to the boundary and may even be planned to basically cross the intersection of two circles. This situation is not that uncommon, especially on the N. Atlantic with only a 120-Minute dispatch; 180-Minute dispatches in the southern oceanic areas; and for Polar flights. 240-Minute ETOPS and Beyond will still have the potential for needing to accurately identify the circle intersections, and the length of your trammel bar will go up accordingly.
My advice to airline customers has always been, "Bottomline, pony up and buy the preprinted charts from Jepp, and then you won’t have to keep answering this same question from every pilot in your organization that fancies himself to be "The Navigator".