Human Soldier: Best Cryo-Ammo user. Has one of the fastest Tech/Ammo detonators in the game. (Two of them at that).
Almost every kit in the game has a detonator of some kind. He can only set up with ammo, like anyone else in the game. Also, although a valid build, Adreneline Rush is a more damaging build, and focuses on weapon damage.
BF3 Soldier: See above, with added Self-Detonated Fire Explosions.
See above as well. Most damage from this kit comes when using Adreneline Rush to boost weapon damage. Although Distruptor Claymore->AR->Claymore->Carnage (tech burst)->Frag (fire explosion)->repeat... 
KroSol: Highest Fire DoT in Game. Self-Detonated Fire Explosions.
Also has Fortification for DR and damage boost.
Vorcha Soldier: Once again, Self-Detonated Fire Explosions. Flamer, one of the highest DPS powers in the game.
Least favorite soldier for me, but nothing you say is wrong. Also probably the most "power" focused of all the soldiers.
Geth Trooper: Most powerful Flamer in game.
Also with two powers that boost DR and weapon damage.
BatSol: Two high-damage DoT powers.
If anything lives long enough for Ballistic blades to do it's dot damage, you're doing it wrong
. Also has DR power.
Juggernaut: High damage Siege Pulses.
Also has weapon/stability bonuses and Hex shield which boosts damage output.
I see you forgot to list Turian Soldier, Destroyer, and Quarksman. I guess Marksman and Devestator Mode were counterproductive to your argument 
I never said soldiers can't do power damage, just that they're focus, and they're most damaging builds rely on weapon damage, as it should be. It is Mass Effect, every class does come with 3 powers, some are boosts (Adreneline Rush, Marksman, Hunter Mode, etc), some are offensive (grenades, flamer, etc), some are defensive (Fortification, Blade Armor, Hex Shield, etc). You'll notice with a lot of the offensive powers in the soldier class, they tend to lean towards armor damage (flamer, inferno grenades, carnage) which is right up a soldier's alley. Soldiers tend to be single target massive DPS machines, as opposed to crowd control, or being able to set up and detonate explosions, or buffing teammates, etc.
So, again, how is the Saboteur more of a soldier than the Havoc?