In my naïve thinking I would just follow my compass in the south direction to find the magnetic south pole. When the compass flips around at 180° then you crossed the pole. I don't know if they understood the difference between the pole and the magnetic pole at that time.
I learnt in the Fram museum in Oslo that they did a lot of magnetic field measurements, which led to new and important scientific insights. So they navigated by compass (and sextant).
But not only. Amundsen did 'sensor fusion'. He did pace-counting and had meter-wheels fixed to sledges to measure their traveled distance. In addition to that he erected snow beacons every three miles.
I heard a podcast about this some time ago. They used a wheel on one of the sleds to measure distance travelled and navigated using a compass. They did rough calculations using the suns height over the horizon and time of culmination and more precise calculations using a sextant from time to time.
I suspect he had a little gizmo called magnetic compass, though that one would measure the magnetic pole, not the true pole. Difference between those 2 are 17 degrees if my memory serves me correctly. More info here: https://airplaneacademy.com/whats-the-difference-between-tru...