I hope all is good over in your neck of the woods. I have heard the things on the news, and I hope you and your loved ones are holding up.
Anyways, on to the question:
You state in your documentation "To use Local mode you need something which stores its cached pages with file/directory names that are relative to the original URLs.".
When using W3TC and SSL, it seems there are 2 cached pages created, and they are formatted like this (example is for contact-us page):
/page_enhanced/www.mysite.com/contact-us/_index_ssl.html
/page_enhanced/www.mysite.com/contact-us/_index_ssl.html_gzip
I have OCP installed. Out of the box, can I still run OCP with these same parameters:
./ocp -l /var/www/mysite.com/wp-content/w3tc/pgcache -ls _index.html /var/www/mysite.com/sitemap_index.xml
with this cron