Your observation (highlighted), and explanation given, is foreign to the practice of ocean navigation, especially in 1911 prior to satellite navigation.
Foreign to the practice of ocean navigation prior to satellite navigation? Hmmm! Well let's look at what was recorded for Olympic's 200th voyage from Southampton to NY via Cherbourg in 1931 while traveling the great circle part of her route from Bishop Rock to a corner point at 43N, 50W; then to Nantucket Light Vessel; then to Ambrose Light Vessel. Course headings recorded were in degrees true and time recorded were ATS. This data came from a course book document that Mark Chirnside had shared with me and is presented here with his kind permission.
26 March 8:36 am Bishop Rock 273° true
Noon 49.46N 8.23W 271° true
7:15 pm 269° true
27 March 0:15 am 266° true
4:15 am 264° true
Noon 49.21N 22.35W 260° true
6:18 pm 258° true
11:45 pm 256° true
28 March 6:10 am 253° true
Noon 47.15N 35.55W 250° true
6:08 pm 248° true
11:30 pm 247° true
29 March 5:38 am 244° true
Noon 43.47N 47.51W 243-1/4° true
4:40 pm 43N 50W CORNER 260-3/4° true
10:06 pm 260-3/4° true
30 March 2:00 am 260-3/4° true
7:24 am 260-3/4° true
Noon 41.45N 60.31W 260-1/2° true
6:18 pm 260-1/2° true
31 March 1:00 am 260-1/2° true
7:21 am Nantucket LV 267-1/4° true
Noon 40.30N 71.50W 267-1/4° true
2:51 pm 270° true
4:09 pm Ambrose LV (21:09 GMT)
In addition to true course headings, standard and steering magnetic compass headings and deviation were also recorded as well for each of these times. By the way, the first artificial earth satellite was first launched in 1957. Olympic's navigation was a combination of dead reckoning and celestial navigation just like they did in 1912.