Chase chose "The Club" to operate their lounges. The Club is owned by Collinson, who also owns Priority Pass. They have competing interests. Look at the awkward way that the Priority Pass website explains the access rules:
Members can access the lounge once per calendar year using an allocated visit entitlement (both inclusive and Pay As You Go) subject to availability. Additional visits over and above the 1 calendar year, and any guest visits, will be charged a preferential entry fee of US$75 per person, per visit, payable to the lounge.
Members on selected programmes are eligible for ongoing complimentary access.
Selected programs? If Priority Pass were fully on board with this they would say "selected Chase credit cards". I agree that Chase has insisted on these rules to exclude competitors' cardholders from ongoing complimentary access, and hope to use it as a tool to sell credit cards, but I don't know that it will last after more locations open.
I also see that the Priority Pass entry for the Hong Kong location does not contain any of this language, which suggests the rule is not currently enforced there.