Why install with wpfc installing total cache and not Fastcgi cache?

I ran this command

sudo ee site create example.com --wpfc

which is doing the following…

Adding repository for MySQL, please wait...
Adding repository for NGINX, please wait...
Adding repository for PHP, please wait...
Adding SWAP file, please wait...
Updating apt-cache, please wait...
Installing packages, please wait...
Downloading MySQLTuner           [Done]
Downloading WP-CLI               [Done]
Reload : postfix   [OK]
Reload : nginx     [OK]
Restart : php5-fpm  [OK]
Reload : mysql     [OK]
Running pre-update checks, please wait...
Setting up NGINX configuration  [Done]
Setting up webroot              [Done]
Downloading Wordpress           [Done]
Setting up database             [Done]
Installing plugin nginx-helper, please wait...
Installing plugin w3-total-cache, please wait...
Reload : nginx     [OK]

I thought wpfc installs fastcgi cache instead of Total cache. Is that right?

W3 Total Cache is added and configured to use object-cache and database-cache.

Hmm strange, because for me, W3Tc does not automatically configure for object and db cache. Instead, only page cache is setup