The products that buffer ammonia, like amquel or prime, do not affect the cycle. They convert ammonia into a form that does not harm stock but can still be utilized by the biofilter, it's the bacteria that gets rid of it. The conditioner just keeps animals from getting hurt in the meantime.
This product doesn't claim to do anything for ammonia anyway. I wasn't clear really, I think if your going to do this, you might as well get a bottle of Prime since it's a great thing to keep around anyway, rather than this one that just breaks down chlorine and buffers metal. fwiw the metal is still in the tank too, just a diff form. It's highly unlikely it would ever be unbound, I think a huge ph dip would do it maybe, but it is still there