No, they don't. Biotics and tech powers tear them apart quite handily. So do shotguns.
With the partial exception of ****ing krogan battlemasters. On the other hand, a little while after my last message to you, I went, sat down, and dropped everyone in that room in under ten minutes. Admittedly, most of that was spent chipping away at the krogan, but I suspect you'd take about the same amount of time with your soldier.
And it'd be more boring.