Yes, I confirmed with WP Rocket team, they are indeed ” saving the files individually, detecting the media query string as well”.
In last 3 days, I cleared the cache (I cross checked and found that the folder is empty) and then did not touch Ajax Search Pro settings.
After that I visited Cache folder of WP Rocket. Over there I can see 1GB of ASP files.
Also, can you please cross check whether these files included through wp_enqueue_*. – Ref: https://wp-dreams.com/forums/topic/mixed-content-error-in-js-console/#post-11516
Thanks for continued support 🙂