Your nitrates being at zero is certainly unusual, but not unheard of. Your plants are probably soaking up the nitrates in the tank. I have heard of this occurring before with planted tanks. BTW, Your plants look nice and healthy.
Remember that you are cycling with an artificial source of ammonia and not with living, breathing animals. You don't have any organisms living in the water that are constantly adding to the bioload. So very minimal bioload. Depending on when you last added some ammonia, the cycle may have completed again and nitrates might have already been absorbed. Just don't let those little guys go hungry, keep them fed. You can't afford to have them die off.
I think that you are good to go, but I tend to lean towards caution. Just to be safe, continue what you are doing. Watch it for a couple of days more and test the water a few times each day. I think that you will find that you are now ready to add fish.
Also make sure that your test equipment is completely cleaned out before you test the water. You don't want some leftover residue skewing your results.
BTW, it's good that you are posting pictures of your test results online, but I'm slightly color-blind. I'll need someone to interpret those results for me. It's a problem I've always had with these kind of test kits.