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No, Tim. A line on the paper chart is very definitely a great circle. If you measure a long east west track at the ends, you’ll see the tracks are not reciprocal, but differ by convergence.
That’s why we teach to measure the track at around mid point. To get an approximation of the rhumb line, for ease of flying. But the line remains a great circle.
Long haul flights would, typically, be given the initial true track and the mean magnetic track, but the FMS would happily direct the flight along the great circle.
Likewise, radio nav can only follow great circles (and the track should be measured at the VOR, for that reason, and for the local variation to which the VOR is offset. When tracking a long east west radial, the radial uses convergence and variation at the station and the aircraft will experience an apparent drift of convergence and the difference in variation at the start, gradually reducing as departure decreases.