I'm in the same boat. here. Laptop, desktop, or phone, I just use a standard web browser to access this site.
After trying it a few times when we first implemented it here, I never the attraction.
As I recall, J is the one who originally set the site up to be able to access it through Tapatalk. I keep a fairly close eye on the site email and we haven't received any notifications from Tapatalk (such has an email stating they're changing anything that might require effect us --- or anything else.).
If we hear anything that could effect member experiences, we'll let you know. Until then, I can't say I'd be concerned about it at all.
ETA: After reviewing all of the provided examples, it seems like they're all using a "form letter". I wonder if this is legit or a hack into Tapatalk itself to present a false message.