Nitrates are not zero, they are just below your tests detection limit. Corals don't care much for nitrate as long as they have ammonia available (also below detection limits usually). Nitrate has to be reduced back to ammonia using energy and enzymes that require trace elements. This makes nitrate uptake inefficient over other nitrogen sources like ammonia directly or amino acids.
In natural coral reefs you can have something like 0.1ppm nitrate without issues. I don't think your tank will crash.
I would recommend the following DIY solution to increase nitrogen availability if it keeps bottoming out. Note that if you are experiencing some kind of nuisance algae growth at the moment I wouldn't dose ammonia. As long as there is growth, there is enough ammonia available.
https://www.reef2reef.com/threads/diy-ammonia-dosing-for-low-nitrate-systems.987087/
Also plug your skimmer back in and set the foam level low instead. You want it running for gas exchange.