Hot tub shops MUST have technology to keep them from freezing in the winter! Even if you set up a monitor, there's nothing to keep it freezing. You'll just be able to watch the temperature fall.
Or are you not saying that someone else is always home and could reset the breaker if they knew to do so?
Now, about the arc fault breaker. Yes, they have problems. But is that the correct kind of breaker for a hot tub? It's not a GFCI, and hot tubs need those.
The article on wiring a hot tub at
[Link: spadepot.com] doesn't even have the word "arc" in it but 31 occurrences of the initials "GFCI." The article "Installing a Spa Panel" at
[Link: homedepot.com] also doesn't have the word "arc" in it but has "GFCI" seven times. Maybe arc fault breakers aren't needed.