Thrive tracks all clicks that come through your Thrive campaign links.
In Tracking > Click/Conversion Log, you can see all the individual clicks that have come in.
All of them have a specific IP address and click ID attached. If they appear there, that means an actual web request via your Thrive campaign link occurred and Thrive records these as clicks.
You can test this functionality yourself by going through the Thrive campaign link, record the sub ID generated by Thrive, wait a few minutes, and look in the log for the sub ID of your click.
Thrive doesn't connect to any other service to match clicks up, and unfortunately, we have no visibility as to how their clicks are tracked. But, you can see very transparently how your clicks are tracked through Thrive.