I would like to not show the products number under the category menu that appears in the header on my shop page but still maintain the different categories. I want to be able to see the categories but not the number of products inside.
If you do not want to show products count in the category menu. You can simply disable the “Show products count for each category” option from theme settings >> Shop >> SIDEBAR & PAGE TITLE. After disabling the option just save the changes and then check the result.