For context on why I'm opening this issue, please see https://make.wordpress.org/performance/handbook/performance-lab/version-support-policy/. Specifically the following:

The Performance Lab plugin commits to supporting the latest stable version of WordPress core.

The Performance Lab plugin commits to only removing a module in combination with bumping the minimum WordPress version requirement to the same stable core release that the merged module code was published with.

The two Performance Lab modules for the Site Health checks on full page cache and persistent object cache have been launched in WordPress core's version 6.1, see https://make.wordpress.org/core/2022/10/06/new-cache-site-health-checks-in-wordpress-6-1/. Any iterations of them make most sense to happen in core, and as such the modules in the Performance Lab are now obsolete (they are already disabled from loading when using WP 6.1 anyway).

Therefore I suggest to remove the two modules now entirely. Per the above policy, this also means we have to bump the minimum required WordPress version of the Performance Lab plugin to 6.1, since that is when those two modules were made available in WordPress core.