I am really sorry for the delay of this reply as it is a weekend for us here.
I've checked in your site, it seems like this Joomla cache 'system - page cache' plugin cached the page when you load on your blog entry page, it will cached until you purge the cache from backend, it will only re-cache again on your blog entry page.
I also tried to research from Google regarding this, I found out a lot of people also hitting this kind of issue like article hit, it will not update on the page, but the hits already stored correctly from their database.
Firstly, I already reverted back those fix what I applied on your site in earlier.
JoomlaFolder/components/com_easyblog/views/comments/view.ajax.php
JoomlaFolder/components/com_easyblog/views/entry/view.html.php
If you would like to use cache feature from your site, I think this is only solution I can find which can solve this issue, I already help you configured to use cache on - conservative caching setting from your backend global configuration page and that plugin stay to enabled it, that cache time I set 2 minute per time.
Which mean that Joomla will cache your page only 2 minutes, so after 2 minute, it will re-cache again and populate the latest changes like article hits, new comment on your page.
Can you give it a check again is it working?