Incomplete nitrification makes sense only if you think there is already an imbalance between the AOB and NOB bacterias before overfeeding. Lets say if normally a system can cope with a level x of ammonia as it has enough bacterias (AOB+NOB) to convert it to nitrates, if you increase the level of ammonia to 2x, then you'll will experience a mini cycle: a spike of ammonia followed by a spike of nitrites. So why do I see the spike of nitrites but not the one of ammonia?
I think because the plants are taking in part of the extra ammonia while the AOB population grows, avoiding the ammonia spike. So now a larger population of AOB is producing more nitrites but the NOB population has not caught up yet and plants are not helping there. I register the only spike of nitrites.
Assuming I have enough fast growing plants which could cope with the extra ammonia from the overfeeding, I should not encourage the nitrification via biological filtering which only increases nitrites and nitrates. I think this is the idea behind chapter 7 and the Q&A on page 111 of Diana's book.
Thanks Shadow_Arbor, for the inspiring conversation. I have an experiment to run now. I have already gone through the water changes and yes of course it does work. I'll try something else now: removing a sponge filter.