Two thoughts for you:
- You *could* Disconnect the battery before shabbos and re-attach it after shabbos. It's an easy operation which you could do without tools, and it doesn't effect key operation.
- If you live in a house, you can take an alternative approach - put the smart lock on a side door or garage door that you're not likely to use on Shabbos (you're obviously not going to drive your car on shabbos).
I imagine that today's world in general poses a lot of halachic issues in the sense that we're being tracked and unaware. For example, AFAIK, a lot of hotels will give shomer shabbos people physical keys so they don't have to use the electronic ones, but I can't imagine that those aren't being tracked either. So if the issue is that turning a key is causing a computer to log your actions, you can't leave your room on shabbos.
... and if they have locks that use physical keys and don't log, you should buy one of them
