Given the history how US companies treat privacy I would not bet on them. I would never chose a US vendor that sells my data to the highest bidder. This is standard practice for ISPs over there, also injecting ads, having terrible service and being really expensive. Unless SpaceX addresses all of these than maybe they become an option.
They would struggle as "global ISP" if they go down that route. If they can control their hardware supply chain, they have a chance to displace much-disliked cable companies.
You'd have to take the fact that they fight this on faith, and given the track record of basically every US company so far... You'd have to be very naive.