CPS is a niche weapon that will only exist in the dozens or low hundreds, with almost no possibility of reload west of Hawaii. Building a strike doctrine around it is idiotic, and if that doctrine is to sail outside DF-26 range altogether, stick LRWH on the deck of an auxiliary and be done with it.
Any offensive action that is intended to last more than a few days will need to rely on aircraft, and if USN cannot close to within AShBM range, then the USN surface fleet is just out of a job in the westpac. Increasing the number of launch tubes does not solve the issue; it only prolongs it by gays or hours, and descreasing the number of ABM platforms just reduces the points of failure. To put it another way: if BBGX just has twice as many VLS as a Burke, that just means it *might* take twice as many missiles to kill, if your lucky, and if that many interceptors are available in the first place. And that is a losing proposition if your BBGX costs more than twice a Burke.
IMO, the USN is going to have to rely heavily on soft kill measures and/or ISR disruption if it wants to have any longevity in a fight with China, and that is going to require the force to take casualties at all levels. The CSGs might not be sufficiently survivable enough for this environment, but if not neither is BBGX.