IME on this forum most guys and Bart particularly try to help each other. It isn't a case of having to be 'right'. Maybe that is just my perception ? YMMV.
As to the barber manual. I am only familiar with the excellent 1961 excerpt on honing and stropping seen
here in the SRP Wiki help files. On page 27 they describe the TPT as moving the moistened thumb pad
along the edge with an illustration. Not saying it is the only way or even the right way ... but I have found it to be effective IME and having tried the across method I find along to be what I use.