The way I see it, is that Normal Maps assign a Color to the direction of the Shading Normal for each Pixel.
Something like this:

So straight up is that purple-ish Color that covers most of the Map.
Now if you change that Color (or the Color Transform), the Shading normal is no longer pointing straight up and when you Mirror that.point, the Shading Normal will be pointing differently than the original. If it were straight up, the mirrored version would still be pointing straight up.
Does that make some sense?
Still don’t know where exactly things went wrong for you; I don’t really have the ability to check.