There's a few automatics, particularly performance ones, that dump the torque converter, or minimize the use for it, in favor of a lock-up clutch. In some ways they "shift" faster than DCTs because of the planetary design, there's less of a disengagement step, if any. DCT still has to disconnect the drivetrain to switch to the new gear, for however brief a period. Planetaries work differently, and CVTs don't even shift at all, therefore no disconnect at all.
Planetary gear transmissions still have a brief period of disengagement between gears. They shift by engaging and disengaging small multi-plate clutches ("clutchpacks") to freeze or free specific portions of the planetary set (i.e. locking the ring gear in place and using the planet carrier as output, locking the planet carrier and using the ring gear as output, locking the planet gears to give a 1:1 ratio, etc.). To shift from one gear set to another, everything is briefly uncoupled before the next gear is engaged.
There's the same "disengage prior gear, engage subsequent gear" process in a planetary automatic as there is in a DCT. In fact, a mal-adjusted planetary automatic can end up binding, or being "in two gears at once" if the "disengage/re-engage" process is not occurring properly. This was mostly an issue for very old planetary automatics (pre-electronic controls, and especially very early Hydramatic units).
Also, I know of no planetary automatic that completely dispenses with the torque converter. While almost all modern torque converter automatics have a lockup clutch for the top gear (it was common even in the late 1980s for a torque converter automatic to have lockup in 4th gear), and while many are now engaging the lockup clutch in lower gears, the fact remains that the lockup clutch only remains engaged at either zero or very slight acceleration; firm application of the accelerator will always disengage the lockup clutch, even before the transmission downshifts. Increased use of the lockup clutch is driven largely by fuel economy concerns, not by performance concerns since the torque converter's slippage actually provides torque multiplication and is beneficial to acceleration even if it can feel odd.
You're right that CVTs have no power interruptions when "shifting" though. However, historically, CVTs have had problems with high-torque applications. While it's true that CVTs were tested in F1, even F1 cars produce less than 300 ft-lbs of torque. They gain their high horsepower from being able to rev very high. Nissan has done great work with their CVTs, but they're still not offered on anything with over about 265 fl-lbs of torque.
DCTs, on the other hand, are as robust as traditional manuals transmissions and they have the same ultra-fast shifting times as are theoretically possible with planetary setups.
ZV