I think this is your plugins conflict or wrong settings. I have tested wpForo with Comet Cache and WP Fastest Cache and not observed any problems of these plugins combinations.
Just did some test with Fastest Cache and you are right, it doesn't clear the home page:
Fastest Cache
Home Page Cached:
</html><!-- WP Fastest Cache file was created in 0.2602379322052 seconds, on 23-03-17 11:42:13 -->
After a new wpForo post (topic)
</html><!-- WP Fastest Cache file was created in 0.2602379322052 seconds, on 23-03-17 11:42:13 -->
Still the problem with other cache plugins exist.
cheers !
I think this is your plugins conflict or wrong settings. I have tested wpForo with Comet Cache and WP Fastest Cache and not observed any problems of these plugins combinations.
It seems that wpForo and Fastest Cache doesn't work right. During posts, subscriptions seems to crash:
[23-Mar-2017 10:47:21 UTC] WordPress database error Duplicate entry '24-topic-2' for key 'itemid' for query INSERT INTO `wp_wpforo_subscribes` (`itemid`, `type`, `confirmkey`, `userid`, `active`) VALUES (24, 'topic', 'e22560dd6e16d77401eb3f2ff3daa697', 2, 1) made by require('wp-blog-header.php'), require_once('wp-load.php'), require_once('wp-config.php'), require_once('wp-settings.php'), do_action('init'), WP_Hook->do_action, WP_Hook->apply_filters, wpForo->init, wpforo_actions, wpForoTopic->add, do_action('wpforo_after_add_topic'), WP_Hook->do_action, WP_Hook->apply_filters, wpforo_topic_auto_subscribe, wpForoSubscribe->add
[23-Mar-2017 10:48:05 UTC]