No, that’s not what the CIA triad is about. It’s about the data, not what will be done with the data later.
If the scam site uses proper TLS, even if the information ends up sold, the information on the connection is private because TLS encrypts it. So Confidentiality holds.
The same with Integrity. Using proper TLS means nobody can change the information being sent and received.
Availability is not about the website being taken down by the operator, but the operations of the site allowing proper operation.