The issue with the DCT isn't that it can't handle power, it's that it's dog-crap. It's absolutely unreliable in city driving. If you're flooring it around the canyons and never getting below 20mph, it's pretty good. It shifts pretty quickly and behaves modestly. The big issue is that it struggles with anything related to 1st gear. 1st gear is by far the most difficult part of this car. It shouldn't be so bad but it is. It will NOT downshift into 1st gear most of the time. I can click down a thousand times and it'll refuse. (This is well below redline) Trying to engage in first rarely works the way you hope. A camry would win a 0-60 contest with this car. The first 2-3 times the car tries to move, it'll miss the shift or it'll detect wheel slippage and then gut power... causing it to miss the shift (it'll disengage because otherwise the car would stall). It'll do that 2-3 times before it moves more than 10ft. By which time, you've gotten t-boned by an SUV because you moved out into traffic and are stuck.
Only way I've gotten around this a little is by pushing past the kickdown switch. Which is abhorrent because then the car is basically uncontrollable. It will fiddle left and right in whichever way and slip the wheels like crazy.
It's just a shitty car sometimes. I probably would've gone with a manual transmission if I had known it would be this bad. When I was test driving the car, it was bad and I was like, "wow, this is shit in city driving." I didn't think it would matter too much but a lot of my driving is... in the city. :|