Hi,
Thank you for the details, it helps a lot!
I checked the configuration, and I noticed that the results per page option was set to 48, but on the actual results page it is set to 12 only. I believe that caused the incorrect overlap. I changed the number back to auto, so now it follows the default configuration.
If you need to change the results on the page, I recommend changing it in the WooCommerce related option – usually in the theme options or within the customizer it is possible to change the number of items. Ajax Search Pro will automatically fetch that number correctly from the query.