The issue is not with uBlock itself but the filter set you are using.

Also, 95% of the time the live-chat functions on websites are obnoxious. If I have a concern, I am happy to open a dedicated chat page. Having a chat widget on every single page is annoying and unnecessary. But that's just my opinion.

Are you sure you are not able to do your website performance analytics from your server logs? More often than not, user agent side analytics end up collecting lots of unnecessary sensitive data, and sharing it with third parties like Google.