Regarding the cymbals in metal and Rock it's not just a matter of taste. They're usually muted with the drummer bare hand in most of the performance except for few parts where you want the cymbal to ring. Addictive drums are great same as Superior drummer etc.Be careful though and let me explain. If you look into the midi mapping for Addictive drums (or any decent drum sampler) you should find notes that you can play or place after most cymbal hits to mute them that are specific to the plugin your using. Most drum sampler have that feature.
To illustrate this, just listen to the cymbals alone or better yet just play one cymbal and listen to it and see how long it takes to fade out! If they're not muted with a note or however method you want to use, you will hear those things ring for a good 20 seconds at least. Imagine if your reverb tail rang in all you mix for 20 seconds. Now replace that with a cymbals that rings for 20 seconds through out the song. In jaz maybe you can get away but even there you still have to use midi notes to mute the cymbals just like drummers in the real world use their bare hands. If you manage to place the mute notes in the right place, your mix will clear so much even though the cymbals aren't really that loud. You might be able to get them louder but by muting them they will sound more natural and effective. Just trying to help. You mix and playing are good, but that's a great way of improving it. I listened on cheap pc headphones so I couldn't hear the cymbals very well but I know if they're they can use being louder and muted .
for the sake of improving the mix, try cutting the Bass at around 125 to 190Hz using a notch by 4-6DB cut and boost 80hz by one or 2db and this will also clear the mix..and give you that massive bass.