Canards lead to less drag because it means to generate more lift with less wing area (compared to a more traditional American twin tailed aircraft), especially with movable canards. See all the Eurocanard designs which are generally described as extremly low drag aircraft.
I'll give you a like, because anybody who is honestly trying to understand aerodynamics, is well ahead of the average internet poster, but I disagree, the J-20 is NOT a Euro-Canard, it has a very large canard in comparison, and it is also a "distant coupled" canard, so its large enough to add significantly to the total lift, as well as total drag, but its extremely long moment arm, (to massively increase "pitch rate"), places it into "clean" high pressure air, and while it does indeed create a strong lift enhancing vortex, the main wing is almost all in "clean" high pressure air as well.....
The only way we can honestly assess real world drag is by the ability to super cruise or not, the F-22 is the fastest supercruiser on the planet, it also makes more dry thrust than anything else on the planet, when the J-20 gets its WS-15, we may actually be able to discuss honestly which of these airplanes is "cleaner", but for now, we will just have to wait and see....