My fluffy Pandora seems to shed less than her regular coated brother. However, I believe that the fur gets caught up in itself and it is brushed out rather than falling on the floor. It probably is less though.
We're on our third corgi - Marcus (fluffy). The others were not fluffys (Kyra's 9 now and Meagan was @7 when we found her a new home). Marcus sheds and his hair is everywhere. He appears to be making up (fur-wise) for our two 18 year old kittens that passed away last year. I don't care what vets say... our carpets and hardwood floors are a mess. We vacuum often. DON'T WEAR BLACK but keep your pup.
Short-haired dogs tend to shed more because their hair reaches its full length and falls out faster. As for corgis: my sister has two corgis - one is fluffy; the other shorthaired. They shed about the same amount.
It appears my fluffy girl sheds far less. They do not possess the same sort of double coat that a normal coat does. She does need far more grooming to have a nice coat as they do mat. I think it is more work but less shedding. They are sure lovely though and worth the work.