I've not consulted any scholar. It is just my observation. There's no agenda. You asked and I answered. Very simple. Genealogy is a hobby and I'm just interest in finding related information. I've no fixation on generation poems. I could well be wrong if it happens it wouldn't be the first nor last time, in my observation.
Why don't you explain why your ancestors from the 10th, 11th and 12th generations didn't use the characters from the generation poem in sequence? What about the generations before and after them?