You have a fair point Artley and some people would be disturbed by it, but I actually think that if I ever mentioned to my T that I liked to look to see when she was last online she would just say something like, if it helps you to feel connected to me then so be it. She's pretty laid back and unfazed by many things. If she wasn't she would no doubt make her activity private.
I have been on the other side of a stalking situation and it wasn't nice, but that was literally someone tracking ALL my online movements including contacting me on sites, looking at forum posts and contacting me under different names so I wouldn't know who it was etc. It's different to simply looking now and then to see when T has last been on Whatasapp.