The copper compounds often use an amine molecule (NH2, made from NH3 - ie ammonia) to make a compound that is less harsh on the fish. The badges seem to be able to register this amine and count it as ammonia.
I found this out after going mad trying to bring ammonia in a QT tank down only to see it keep staying exactly the same even after an 80% water change and no bioload…
AFAIK all the copper treatments that you take to 2 or 2.5ppm do this. While the amine is bound to the copper neither it nor the copper are in dangerous concentrations.
Do not use an ammonia reducing agent on the tank, this can strip the amine compounds from the Copper, turning it into a harmful concentration that’ll risk killing your fish.
If you want to know the tank is OK then make sure it’s cycled before adding Copper, then trust the cycle.
I suppose one thing you could do is test before adding the fish, confirm the “ammonia” level, and then subtract that out from any subsequent readings to make sure it’s not rising.