When a user logged in to a temporary account signs up to a permanent (normal) account, it would probably be useful to privately record the connection between the two, in a way that's only visible with checkuser permissions. That might help with anti-abuse work: if the permanent account does something malicious and is caught, we might want to check the previously used temporary account for malicious but non-obvious activity (e.g. number change vandalism). Often this will happen via an IP check anyway, but sometimes the IP address is not a reliable tracing mechanism.
Technically, we could either just use the log_params field as it's not exposed via the API, or put it somewhere in the CU data (the latter probably makes it simpler to expose it on the CU interface).