If someone at starlink wanted your address I don't think lack of GPS would stop them.
Laundering the money through FCC RDOF was a stroke of genius; I tip my hat to whoever came up with that idea.
I don't understand why people are so committed to assuming there's a nefarious "real motivation" behind Starlink. Global telecomms is on the order of $2 trillion in revenue per year and growing. The US military's GPS budget is about $1.5 billion. So we're talking about addressable markets 3 orders of magnitude different in size.
https://www.mentalfloss.com/article/75874/us-navy-returns-te...
I wouldn't be surprised if SpaceX tracks starlink satellite orbits via GPS, so that may limit their use as a redundant GPS system.
Now I'm curious what their command and control links look like. It's possible and perhaps likely that they can only communicate with any given satellite intermittently, as they fly overhead of ground stations.
Though sure, you could make the purchase using a pre-paid card under a fake identity so they can't associate the address with a person. At least not through their own records. House deeds are public record, so if you own the house, they can figure out who you are by making a public records request, which is generally one way refi spammers find you.
Plus, depending on where you are, the government itself might sell your name and address to third parties. I know Texas does this, which is why I put getting a Texas ID for such a long time and continued using California ID until Texas last year decided you can't vote with an out-of-state ID. So now the DMV is selling my identity and I'm getting a lot more spam.