There is no universal master QCC key that works for every single BiLock, right?
No.

You did misunderstood it, they don't use the same key, but you can order more than one lock from them which are
specially made to be opened with 1 key. It's useful if you want to have 1 key which opens the back door the front door and the garage door and so on as well.
But "normally" 2 locks with the same key are extremely rare. How rare depends on the lock itself, but in case of Bilock it will be extremely rare.
Does anybody know where I can buy doorknobs with Abloy locks?
I'm not sure there is, Security snobs tends to be one of the very few who can offer these more exotic, high-end solutions and not sure if other lockies offer such things as well. They are a good reputable company, I have very good experience with them.
But if you want to look around, have you tried contacting abloy?