Let's just ignore the fact this doesn't exist for the sake of going through the mental exercise. Whether identity services are allowed to discard the logs is a legal question. The time in which a user makes a verification request for a website is de-anonymizing in of itself. The government could access both services either in real-time (remember this has already happened here) or depending on how things are stored at a later date to link identities to accounts. So the government has ways get all the information it needs to de-anonymize people who use social media in Florida if enforced.