Warren,
I appreciate your passion, but it is basely solely on your opinion. I've been filing saws since 1991, and have been teaching people to file since 1996 through my website. I also have an opinion. That does not make yours wrong and mine right. When situations like these arise, it's always useful to see what the opinions of others were, in the times in which handsaws were important and used daily to see what they might say.
To wit:
In 1864 HW Holly wrote a book called, The Art of Saw Filing, a copy which I hold as part of my collection. In it, he writes:
Holly.jpg
In 1909 Fred T Hodgson wrote in his excellent book, "Hand Saws: Their Use, Care and Abuse":
Hodgson.jpg
Finally, in 1882 Robert Grimshaw wrote a book called: Saw Filing". In it he writes:
Grimshaw.jpg
You will note in all cases the authors speak to the relative importance of jointing before filing. I see no call outs about it being optional, or should only be done every 2, 3 or 4th time filing. As stated before, jointing a saw has absolutely no downside if done properly and judiciously, and has great upside.
Let's then turn to this notion of counting strokes and how to file. As before, and in the same order, Holly writes:
Holly2.jpg
Note that part about stopping as soon as the saw comes to a point. No mention of stroke counting.
Hodgson writes:
Hodgson2.jpg
Note the part about observing when the saw tooth comes to a point and filing further will destroy a half hours work. No mention of stroke counting.
Finally, Grimshaw writes:
Grimshaw2.jpg
Note the part about stopping filing even if the tooth is not properly shaped. Again, no mention of stroke counting.
Anyone can read these period texts and come to their own conclusion. Again, these are other men's opinions, now dead, but they seem to be in close alignment. Always joint your saw and stop filing when the tooth comes to a point. You are free to believe and do as you choose, but do so armed with knowledge, not a blind statement.
Happy Filing!
Pete