Mod_proxy_fcgi + php-fpm or mod_fcgid with php fcgi sapi should both be equivalent when tuned correctly.
Your only option for running php in process efficiently is to use the non-threadsafe php in the httpd preform module. Your only option for running httpd efficiently is the event, or at least the worker mpm.
Since usually only a subset of the http requests are to a php resource, the answer is almost always 'no'.
Apache 2.4
On the same system, same web site, are there circumstances when Apache using mod_php would run faster than Apache using PHP-FPM?
Thanks