As for the comment about plant cells functioning like animal cells in 'the dark phase,' I can only guess that this means in an environment that has insufficient light for photosynthesis. Plants respire 24/7, just as animals do, meaning that they take in oxygen and produce carbon dioxide as a waste (in light and dark phases). If there is enough light for photosynthesis, they can take in carbon dioxide and produce oxgen as a waste.
I stand behind my education that plants do not produce a nitrogen compound as part of growth or a waste by-product. Bacteria and some fungus species can take plant biomass and break it down during the decaying process to produce organic nitrogen. The plant itself does not PRODUCE the nitrogen, but the bacteria/fungus does, with the dead plant as its 'food source.'
Thyra, I thought that your intention with this thread was to help folks new to fishkeeping (or those that have not be successful in keeping fish healthy) was a good one. When fish die needlessly due to not understanding what it means to 'cycle' a tank, it is something that I (and I'm sure others) hate to see and try to prevent.
I personally don't need to test the water in my aquarium for ammonia, nitrite and nitrate, but that is only because I have a huge plant 'jungle' under medium-high light. I have to ADD a source of nitrogen (either by adding nitrate fertilzer or overfeeding my fish to allow some food to decay) most weeks. The plants visually tell me when they are running out of nitrogen as it show as a deficiency in their growth. I also must dose for phosphate, and the plants show this as a deficiency in their growth even quicker than nitrogen.
However, the 'anti-test kit' comments have spoiled it for me, so I am not posting here again.