It works fine, IF you setup, configure & test

The CC plugin for WP works fine if you double check your settings and test it thoroughly.
You also what to make sure the CC/WP setting for “Add subscribers to” and make sure is set to a list you either already have or to a list you created for the CC/WP form you have created.*
*Note:
I had created a new list in CC and selected it in the CC/WP settings within a few minutes of managing the configuration in WP. When I went to test the form, the email was not in the newly created list but, it had gone into the default list.
When I went back and checked the CC/WP settings, it had reverted back to the “Add subscribers to” default setting which is the ‘default’ CC list. I changed back to the newly created list for the form, saved changes and it worked as expected.

My sense is that CC had not fully resolved the newly created list and it just took a little longer than expected for all of the changes to solidify.

Also make sure WP is updated to the latest version and all of your other plugins are up-top-date. These are always the first things to check with any WP setup and or issues.