faster than module or as FastCGI?

mod_php is part of webserver, this means php can‘t scale without scaling the webserver too. When running the webserver with fpm for example the php process can scale independently. In performance scenarios fpm/fcgi will be faster.

Basically the difference is between mpm-prefork (mod_php) and mpm-event: https://httpd.apache.org/docs/2.4/en/mpm.html