I think the key words here are "War Games". I do believe these games are designed for the adversary to win. I will give you that the CCP will most likely be able to severely damage ONE carrier. The US has eleven.
AFAIK
In every Rand Corp Simulation/ Wargame the US takes severe losses but still “Wins” ( Formosa is held in trust for the USA by Taiwan, ROC)
The difficulty is always maxed up for any and all ChiCom advantages such as:
For China:
•A near endless cruise missiles, not a one failing to launch or flame out enroute. All with low CEP.
Against ROC
•Total tactical surprise, with ROC in mid callup and low level of dispersion.
•Worst case performance of all aircraft and their weapons.
•Max loss of air defense
• The immediate loss of ROC Navy.
Against USA
•Carriers out of position then sunk when they drive right up to Formosa for tactical support.
•Guam destroyed or neutralized in totality.
• Diego Garcia, extreme damage.
•Chinese submarines
successful in waters near both Hawaii and Sea of Japan and Yellow Sea.
• Conservative performance of all missile defenses including THAD, individual Patriots and all PD’d
Japan
•Okinawa struck heavily and Chinese government vapor locked.
•Poor performance of Japanese F-15’s even as they are fully modernized and the most successful airframe ever built.
•Japanese Fleet combat ineffective losses and political will.
Others
Vietnam sits it out, disallowing USA Fleet and Air operations
Thailand on the fence. Disallows certain USA military actions.
The Philippines: USA bases struck and marginalized.
Simply moving the Carriers to blue waters and allowing for predictable performance of air defense, missile defense and aircraft performance results in a moderation of the extreme USA casualties.
(Opinion)
Unfortunately all scenarios without a USA decapitation strike on China (then nuclear war?) show horrific casualties in ground fighting in Taiwan. Last one I read (iirc) had tens of thousands of US Casualties in all branches.
I can find nothing authoritative and/or enlightening about USA Submarine operations against ChiComs whilst supporting the US and ROC.
Likewise, authoritative musings on heavy bomber operation against China are dearth.