It really does depend on the genre and song. The good news is that Ozone's limiter can be pushed quite hard before it starts sounding ugly, so at least you don't have to worry about that aspect.
How much gain reduction you see depends not only on the threshold but also on the dynamic range of the material before it even hits the limiter. If you've got large spikes (e.g. a loud kick drum) happening, then you might see 6-8dB reductions but still not be over-compressing at all. OTOH, if your song is already at a fairly consistent level, 1-3dB might be a more appropriate amount and 6-8dB might be squashing the life out of it.
And it's entirely legal to have a song that shows no gain reduction at all! Also, if your overall volume is already high, then the limiter may be engaged all the time and showing large gain reductions. Make sure the average level going
into the limiter is reasonable, e.g. -6dB or less. You usually want the limiter to tame peaks, not be a general volume control.
So rather than focusing on the amount of reduction, look at the average RMS instead. This will give you a better indication of whether you're pushing the limiter too far or not enough. Then go back and see what kind of gain reduction Ozone is showing when you've achieve the desired RMS target.
Everybody's material is different, each genre is different, so anybody that says "shoot for -NdB" is speaking from their own personal experience that may or may not be relevant to you. That's why nobody's actually answering your question directly by supplying hard numbers like "-6dB is OK". We're not dodging the question, just saying that "it depends".