As long as its useful to have a self propelled airbase that can launch strike aircraft from anywhere it goes air craft carriers will be relevant.
Emerging threats may change tactics, operations and spur development of countermeasures but they wont make an entire weapons system obsolete unless the change the nature of war.
>Given the technology mentioned by GP, the small number of Carriers in service and the utter impossibility of hiding them, it would appear that such a solution does exist for Carriers.
Carriers are not impossible to hide. A CSG that doesn't want to be found can do so. The ocean is a very big place. There are also grades to knowing "where" something is. Just knowing there is a carrier in the South China sea is valid for strategic planning but not much else. Knowing its somewhere to the south west of Taiwan can help plan operations but wont put warheads on foreheads.
A complete kill chain involves getting very precise and timely targeting information. This is something that needs to be done with some kind of sensor, RADAR, Thermal, Sonar etc. It must be timely because carriers are moving targets. A mere set of GPS coordinates is not good enough. By the time your missile gets there they will be wrong. So that means you need something nearby with a datalink and proper sensors to give targeting data. This could be a sub listening with sonar, a strike aircraft painting the carrier with radar or using an IRST to pick up its heat signature. It could be a warship of your own.
Point is, these kill chains are long and complicated and if you break it at any point your attack will fail or wont happen at all. Hypersonic missiles have very long kill chains, some of the longest. And they haven't been proven out in combat. "Finding" a CSG is much easier said than done.