Short answer, NO.
Long answer, they are too expensive to build/support early game and it's not effective late game.
While most things scales linearly in Aurora, jump drives does not, it scales exponentially. Building a jump capable carrier or jump tender at early tech level is prohibitively expensive. Not having jump drives available will servery limit the power of your carriers.
Another thing that doesn't play well with large ship is maintenance facilities. For a fleet of 10 ships each 10,000 tons, you only need 10,000 tons of maintenance facility. For a fleet of 1 ship of 100,000 tons, you need 100,000 tons of maintenance facility. Although this is of lesser concern once you get to late game and will become a non-issue with the C# version.
The real downside to late game carrier build is that resolution 1 sensors can easily get into the 1 billion km range, which means even with the best cloaking tech, your fighters will have to fire their missiles before the 1 billion km mark. At that point, it's probably better to just use missile cruisers.