I believe the rope size they call out is half of what it should be. It is usually a good idea to compare Occre rigging information with sources based on contempory information such as from Lees Masting and Rigging and Steel's The Elements and Practice of Rigging and Seamanship.
Tiller rope was 0.25Xmain stay To get to that dimension, the circumference of the main stay was 0.5 the diameter of the main mast. The diameter of the main mast in inches was 0.90 per three feet of the mast length. The length for Bounty and similar size ships was about 2.2/2.4 times the beam. For Bounty, working backwards
Beam of 24.4 feet X 2.2 = 54 feet
54/3= 18
18X.9=16.2 inches diameter
16.2X0.5= 8.1 inches circumference for the stay
8.1 / 3.14=2.58" diameter
2.58X0.25=0.64" diameter for the tiller rope
At a scale of 1:54 the diameter would be
0.64/54= 0.3mm