Wouldn't it be the other way around? Yes, the Fujian took 3-4 days to travel up to Qingdao, versus simply flying the carrier-based aircraft to be embarked down there in a few hours on the same day, but it would still be a long flight + the possible use of multiple tankers to extend range to get down to there, assuming they weren't using drop tanks.
They'd also likely land at the airbase they're going to once they got down there first, rather than straight to the carrier, just to take off again later to embark onto the Fujian. In contrast, assuming it is up there in Qingdao to embark more aircraft for training if that's where the bulk of the aircraft currently are, then it seems to me it would be a lot easier and logical to just have carrier-based aircraft from the nearest airbase embark on the Fujian in the Yellow/Bohai Sea, which in terms of distance from whatever PLANAF airbase near Qingdao to the carrier, would probably just be a 20-40 minute flight? That's just my two cents.
A ferry flight across the country is very doable for aircraft of the class we are talking about.
Even if for some reason they wanted to be more cautious with fuel, there are plentiful air bases across the country where they can land and refuel if they didn't want to use tankers.
More importantly, such a transfer would not have the carrier's entire airwing be embarked on a single go -- not only is it very optimistic to even believe the carrier and crew are ready to accommodate the airwing, but even if they were ready there is no reason why such a transfer could not occur over a week or two instead (4-6 aircraft making the journey per day).
All of those options are much simpler than literally moving the entire carrier (with its thousand plus crew, not to mention handing over escort duties between theater commands) up north.
The issue is less about time and more about net movement of personnel, tonnage and resources expended.
The only reason it could make some sense is if the carrier itself needed to be in the region for some reason such as exercises or integration with other assets that couldn't be done down south.
