Some probably don't care, and I used to not care, but there are so many wackos out there that I want to keep my physical address as hidden as possible. Anyone with enough research can find it, true, but making it more difficult to uncover seems to make sense. I'm not a celebrity, but I still don't want someone that I talked to on the radio, or online, showing up at my door, no matter how nice they are. I don't like unannounced visits even by family and totally hate door to door sales.
That being said: When one gets a GMRS license there seems to be no way to squash the address given to the FCC. They proudly display it for anyone that wants to see it. Other agencies like the FAA which licenses pilots gives people the option of keeping the address private. That seems to make more sense. Unless I missed it, the FCC has no such mechanism.
The solution of course is to rent a PO Box and list that as the address, or, if you own a business, use that. If the FAA can do it, the FCC surely could. I'm told the rules don't allow it. Yet the FCC has all kinds of information on how to keep your private information private when using phones. They state "Protecting the privacy and security of the personal information FCC collects and uses is very important to us. " but allow anyone with a computer to see your home address if you have a radio license. Seems to me this could be changed.