Here we go
Heavyweight: Great amount of health but the weakest attacks. I wouldn't recommend it for most parts in PvE because you need a long time to kill enemies which is bad when you want to make the most out of your time/buffs. There are some boss monsters in instances though where this armour style shines.
Going over to PvP: This armour is really underrated in pvp especially in low levels because of the high amount of people with dodger armour there (which hw usually counters). Also you can drag fights out and stall for assistance or keeping several enemies in a fight so your team can mine crystals ( cc and temple).
Let's head over to dodger.
I would just say this is the allrounder under the 3 styles. Great in pvp and also really nice in pve. You hit hard and are able to dodge enemies attacks. Also you apply DoTs with your magic in the later stages of the game which are unavoidable (as far as I know).
Then we have the bonecrusher. I may be a bit biased because I'm wearing that armour but I can highly recommend it for PvE. It just rocks. Yes you can't dodge or block attacks and get hit by everything BUT you also hit like a truck with those crits which allows you to kill most mobs really quick. And more mobs mean more chances of eyes, crystals and other drops aswell as those sweet gold rewards.
PvP: Quiet strong but you struggle against dodgers but there is always a light at the end of the tunnel: If you can manage to stun your opponent + some power elixirs that's usually enough to swing the battle in your favor.
Have I mentioned that sweet sound of a crit already? No? Just try it out...it will be music to your ears
That's it for me. Get out of my sight with that dodger armour and give me a battle axe