Your frustration is clear, and I can sympathise.
With Paterson tanks, I have never had problems using the recommended quantities of chemical per film, even when doing continuous inversions with one film in a 2-reel tank (so that the chemical is 'air-borne' most of the time). However, I always use the swizzle stick for 10 sec when the chemical is first added. I don't know what the Kodak recommendation is, but it sounds like you start straight off with inversions?
I was also thinking that if this problem is process-related, it must be happening at the fixer stage (or possibly stop-bath). The reason I suggest that is because the lines are dark on the negative, which would mean over-development if it was happening at the developer stage. I simply cannot imagine how that could happen, whereas I have seen inadequate fixing taking various forms. Have you tried Matt's suggestion of re-fixing one of the spoiled films?