Does Lockitron work for someone who happens to not have mobile phone service where the rental is? As convenient as it is, it seems like short-duration travelers to a country don't always bother with having a working mobile phone where they're going. If so, I'd hope it's obvious in the listing.
You did not. The OP was asking if you had a phone in the equivalent of "airplane mode" or just no service where you are, would Lockitron work? You have a mobile phone, which meets your criteria, but Lockitron would not work with SMS access, since you can't send an SMS. Would it work for smart phones? I have no idea. The page you linked to didn't say one way or the other (or if it did, I didn't see it).