I recently worked on a Wordpress site that utilized the popular ContactForm7 (https://contactform7.com/) plug-in that only sends an email and does not save data. The client wanted the data saved to a custom CRM database. This is my solution.
Do you face issues with your Magento e-commerce website? If yes, you need to assess its health and resolve the issues. Go through this article, you might be able to assess the problems and know what to do.