Module doesn't work?

We're on a Hosting.com site and running Drupal 10.3 on PHP 8.3. I've tried to get this module working but it doesn't seem be doing anything that I can see.

• I've enabled the module and configured the basic settings

• I've ensured the proper code is at the start of .htaccess

<IfModule LiteSpeed>
    CacheLookup on
    php_value output_buffering Off
</IfModule>

• Cleared caches, checked headers, checked on https://check.lscache.io/, no caching is reported.

However, if I enable cache manually in .htaccess the caching works fine, so it seems like it's not a server issue. Here's what I have so far that is mostly working, but I'd like to have the better control that the module gives us.

<IfModule LiteSpeed>
    CacheLookup on
    php_value output_buffering Off

    RewriteEngine On
    RewriteCond %{REQUEST_METHOD} ^GET|HEAD$
    RewriteCond %{HTTP_HOST} ^prod.campkern.org|www.campkern.org|www.daytonymca.org [NC]
    RewriteCond %{REQUEST_URI} !login|admin|register|post|cron|layout|edit|delete|revisions
    RewriteCond %{QUERY_STRING} !nocache
    RewriteRule .* - [E=Cache-Control:max-age=300]
</IfModule>

Reproduce the issue on the Hosting.com site with Drupal 10.3 and PHP 8.3, starting with the module settings and the .htaccess LiteSpeed block shown here. Compare the module-managed behavior with the manually working rules, then inspect response headers and https://check.lscache.io/. Done means identifying why the module does not enable caching and documenting a verified fix or required configuration.