Well I don't know where I got the "Day 16" thing last night, when I reread it this morning it looks more like its "Day 14" today. aletas, do you have the exact date in your logbook that you could give us, when you set up the AquaClear and started using it instead of the old filter?
Reviewing this, I'm now inclined to think this might just be a "bare tank" situation (there are no live plants, so no inoculation possibilities other than the mature media which seems not to have worked) and perhaps we are just at that very early stage where A-Bacs are so low that we don't yet see a steady drop to zero. I believe this was quite slow and long on my tank too, which was extremely bare in its initial fishless cycle, but I'm not home to look at Oliver's fishy notebook.
Also, aletas mentions topping-up due to evaporation, which would of course introduce a bit more ammonia, since its as high as 0.50 in the tap water, but this would only be a tiny amount, so probably not significant.
Its just not clear to me yet that we have anything unusual here other than a slow start to the A-Bacs (although I concede that the mature media not "taking" nags at the back of one's mind, leading to wondering about the nitrite kit as MW has mentioned...)
~~waterdrop~~