I am also uncomfortable, but it's worth noting that the Supreme Court long ago found that there is no expectation of Privacy in a public space. Since you signed up for Global Entry, surely you approved a privacy disclosure and had your fingerprints taken?
Because my local photograph (for automated immigration) at Heathrow was physically associated with my US passport, I have to assume that it could have been shared with the US (which has my photo anyway.) And because Tanzania once fingerprinted me, I have to assume they shared that with their ally, the United States of America - even though I don't have Global Entry and have not been arrested.
Edit: I am not addressing the OP specifically, but an equally troublesome aspect of Global Entry is the very clever exploitation (by the government) of the success of Skip The Line tickets elsewhere, and the general glow/attraction of Kardashian-VIP status, to convert what was an included, prepaid function of government into a fee-based income center. I'm not even talking about Equity and Inclusion, but just about how government services are funded.