Considering I don't have any trackers, and I'm going off what Apple advertises, lists in their online information, and common issues people discuss on Reddit (which in itself is questionable to include, lol)...

The only different in this case is the owner, in this case my wifi, is within the same vicinity. My concern is when she's out, say at work when I'm not, and some of her tagged items are sitting at home when I am.

Let's say "Home" is flagged and the alerts don't come up. As mentioned, traveling. Let's say she left a tagged container/item in the car, and I take the car, it'd alert me. That's fine. Let me flag it as to be ignored (different ways as discussed by others and myself here). Or as one other mentioned, let's say I take my wife's keys to take the car, it'd be nagging me too.