Would dedicated carriers disappear from a space fleet?

Would space navies make dedicated carriers obsolete by spreading aviation across other ship types?

No. Aviation would be widely distributed, but dedicated carrier-assault ships would remain useful while most of the fleet would consist of general-purpose cruiser-like warships.

Carrier capabilities would spread across several space-warship types, though dedicated carriers would remain useful. A Venator-like ship could combine a very large fighter group with Marines and landing forces, making it valuable for invasions and other ground-support missions. Its internal volume would also make it a plausible fleet flagship, though only a few such capital ships might accompany a force. Most fighting ships would instead resemble cruisers: general-purpose assets able to conduct a broad range of missions without carrying the carrier's full assault establishment.