Thank you for that. But please consider taking down the camera, too; it's just as much of a problem without a subscription, because you are the service being sold, not just the customer. Get one that stores and processes video entirely locally instead.
I would expect so, yes; I certainly wouldn't bet against it. I can think of any number of ways for a network-connected camera to figure out approximately where it is, and even if it doesn't know approximately where it is, it can still provide video and that video could go through any amount of server-side analysis.