Ya sort of confusing what your saying.
CCC is an automatic updateing tool you use to install and keep track of what is installed and up to date.
CCC has a download folder it puts the needed files in and once everything is up to date you can actually delete all those files and everything will still work. They are the same installers found in your MY Products page.
But what most of us have done is to copy those files in the CCC download folder to a back up drive first then delete them to save disk space. There can end up being over 25 GB of data otherwise. Some might keep a few of SPlat's older versions on hand just encase they decide to roll back.
If you have never deleted anything in that folder and everything is upto date. For sure copy that folder to a back up drive for future use. I recommend 3 copies.
You cannot use CCC to re download a file that is already installed and up to date.
To get those files you go directly to your My Products page and download those. They will end up in your Browser Download folder where you can copy them over to a back up drive.
I always clear my Download folder out before I do this.
I might copy my download folder to a back up drive first as it might have other files I need later like software installers.