Definitely shows the banner ad every time, and the full page ad on initial load of the site. If you leave the page open, no issues, and if you install tapatalk, doesn't show up either. There should be an option in the tapatalk control panel to turn off the ads for itself.
There seem to be some pretty heavy security and privacy flaws in tapatalk, but it would be convenient for browsing and replies. I have an issue with it showing trending feeds from a forum I've only visited as a guest a long time ago (several years) , and I've since removed from tapatalk... But they don't go away. Seems a pretty big privacy concern if they store that kind of info. I've wiped the app data And completely reinstalled the program, with no change.
I'd prefer just having a full mobile feature set without requiring a third party app. The interwebs mention that later versions of xenforo should be perfectly fine from mobile, and I've posted this directly from my mobile browser.