1.- Access your Outlook web/Gmail account.
2.- Open Chrome developer tools [howto]
3.- Go to Console [howto]
4.- Paste this code and push intro to execute:
- Outlook web:
navigator.registerProtocolHandler("mailto", "https://outlook.office.com/?path=/mail/action/compose&to=%s","Outlook");
- Gmail:
navigator.registerProtocolHandler("mailto","https://mail.google.com/mail/?extsrc=mailto&url=%s","Gmail");
You may see something like this in your browser:

Allow the permissions and Test it!
(*) Bonus: If you want to know which mail handlers Chrome has previously registered open this url in your browser:chrome://settings/handlers