The only caching stored is the one for the combined CSS & JavaScript files. Asset CleanUp Pro doesn’t create static HTML pages as other plugins do. The plugin is developed, for maximum performance, to work in combination with caching plugins such as such as WP Rocket.
Asset CleanUp Pro will help you decrease the number of HTTP Requests. Then, a caching plugin will combine and minify the remaining files resulting in smaller CSS and JS cached files and higher page speed score.
The website page load can be very fast if you just use a caching plugin, but using both plugins, the load speed will be blazing fast