I think the OP's blog post says it all. Stop is not chemically necessary, but there is a bit of density difference between the mid-tones on his stop/no-stop comparison. This indicates to me that his negs continued a bit of density build up during the water-stop step. It is not much, but it is there. Slide the slider over the street in front of the big building in the mid-ground to see what I mean. In general, I think the most important thing is consistency, particularly the more film you process. Also, when I used a Jobo processor, there is a lot of surface area (tanks/reels) to carry over chems from one step to the next. I was typically developing 20 rolls of film at a time. In that case, you'd like your fixer to last as long as possible. With a single-reel metal tank though, you won't carry over more than a few mm of chemicals from one process step to another.
Another way to look at it: Stop bath is cheap, fixer is expensive. That was my rationale for my process.
BTW, to the points in the OP's blog post: Vinegar is acetic acid; table strength is about 5% if I recall correctly. And the bubbles the OP warns about only occur if your stop bath is waay too strong. Dilute table vinegar 1:3 and you'll be fine.