SM-3 and SM-6 are the most advanced ABM missiles we have along with the Aegis system. There is a huge difference between hitting a ground target and hitting a carrier moving at 30+ knots. The only success the Chinese have had with these things is ONE test where they hit a carrier diagram etched into some sand at a test range, or so they say.
Ive had a lot of people ask me why America doesnt have this super sonic crap yet, most of all super sonic ASMs. These are the reasons. 1, They are very large and platforms can only carry a small number. 2, They move so fast they cant make course corrections and other computations in a timely manner which makes them inherently more inaccurate. 3, For the same reasons they are more susceptible to ECM and defensive weaponry. Again they move so fast they cant adjust and can be defeated by ECM and decoys and such.
And a carrier group is loaded with such stuff. I think the Chinese are more interested in sea denial then they are in actually sinking a carrier. Ive never understood why so many people put so much faith in a weapon and theory that has never even been realistically tested.
I don't believe that they have "faith" in a weapon they've never seen used, but are simply being pragmatic.
The weapon has the POTENTIAL to sink the whole carrier fleet if it happens to be in range, regardless of whether real capability of doing so is latent or extant. Which, as you noted, gives it utility as a sea denial platform.
However, you also noted that that the missile's capabilities will likely remain uncertain until it's used. And throughout the course of our modern military, we've proven to be capable of shockingly wrong predictions. Estimations over Soviet nuclear progress, the number of bombers they had, the scare over the Mig 25, the Soviets and their "inferior missiles" that we didn't match until 14 years later...
Estimates of an enemy's capabilities are exactly that. Estimates. Can we be crazy ungodly accurate? You bet your sweet arse we can. But we can also be worlds away from reality because we don't have complete information and make assumptions.
Billions of dollars and potentially thousands of lives aren't something you risk on a "we think" without anything to back it up.