Good point. This "fake theft report" idiocy has annoyed me ever since it emerged from someone's overactive imagination onto the internet years ago and has kept getting passed on ever since.
It isn't paranoia if people really ARE out to get you.
I have been online since the earlier days when a 56K modem was considered "fast", and CompuServe was where "Professionals" went for their online access.
In those days, I always used my real name and never gave much thought about it.
Then one day, things changed when it turned out that being visible online wasn't such a great thing UNLESS you have a business you are promoting.
For personal use, it has turned out to be a bit dangerous to put it all out there. It comes down to the "need to know" principle.
I won't go into any of the specifics, so I'll just say that I have been harmed in some ways at some point by allowing my personal identity information to be easily discerned by my online presence, so these days, that doesn't happen anymore.
Maybe nothing will ever come of your being transparent online.
Then again, maybe something will come up that will make you wish that you weren't so easily discovered and found.
There are crazy people out there, and if just one of them takes an interest in you, then you will wish that you could just log off and forget about it, but it's not so easy when the crazy one can find out where you live.