You are correct, there is a very specific (and very detailed) procedure that has to be followed when installing the front wheel of a ST 1300. The procedure is very well explained, step by step, on the attached "Assembly Instructions". This document refers to a 2008 ST, but I believe that the process is the same for all ST 1300 motorcycles from 2002 to present.
See page numbers 7 to 9 inclusive of the attached document (pages 10 to 12 if you refer to the Adobe PDF page numbering system). Note carefully that you will tighten the left pinch bolts once, and then have to loosen them and tighten them again, a second time, after doing a few things in between the two left bolt tightening procedures.
What effect it has on wobble or weave I do not know, but front wheel tracking will be degraded if the procedure is not followed exactly.
Michael