1. Cover for naval task group
it's the other way around
Actually it’s a bit of both ways. The Carrier is fairly underwhelming in its armaments as a general rule yes but the air wing supports operations. Assets off the carrier like ASW Choppers, AEW platforms extend the range of detection and support among the formation. The Fighter wing also adds anti surface capability. It’s not as one sided as it seems.
2. Platform to launch strikes on coastal and inland targets
"inland" using F-35Bs??
The British,USMC, Italian and Spanish use AV8 for that today and that has an inferior combat radius and Max range vs F35B. So why not?
3. Launch point for amphibious landings by troops
the way how to get sunk by navy of some Third World country
In theory, but the. Again there are other types of launching points for Amphibious landings and this isn’t so much carriers as it is LHA and LHD types.
4. A Flexible, mobile and responsive airbase
OK
5. Base for the delivery of humanitarian aid
no comment
These are actually one and the same. It’s common practice for the US DOD to support humanitarian and disaster relief operations. From both CVN and LHA/LHD types. Nuclear carriers bonus is they produce sweet water on there own. The ability to move on transport and deploy food, Medicine even help by providing a hospital and command and control make such missions far easier.
6. A demonstration of political will without resort to force
= bluffing
Not entirely a bluff as they can still be used to render pain on to trouble makers.
7. A flagship for command and control
OK
8. A base for intelligence gathering and reconnaissance
fishy
These two again are really one and the same. The command systems the organic air wing. These mean it has the ability to process and launch information gathering ops. Heck for a time US carriers played host to a unique U2 Variant that could take off and land on the deck for launching recon ops.
9. Sovereign territory
looking for trouble
10. A platform for trade and diplomacy, a visible symbol of prestige
LOL
The battle ships of old did this all the time. Port of call visits were often diplomatic functions.