Yeah, that would be the IMSI (which a given SIM card can have multiple of, e.g. for switching to a more beneficial home network while roaming!)
The ICCID is useful for identifying a given physical SIM card (e.g. so that the phone can link a given user-selected profile name to it/the associated phone line for a "preferred line for contact" indicator in dual-SIM phones), and probably also as an identifier when dynamically assigning a new IMSI over the air.
> for the sake of emergency calling
The IMEI can indeed be an identifier of last resort for emergency calls. I wonder if some countries use it to block abuse/spam calls to emergency services, or more importantly, why some others aren't?
In Germany, for example, SIM-less emergency calls are no longer possible, supposedly due to many people calling the local emergency number to test whether a used phone is in working condition without inserting a SIM card... I don't know what they're doing with the IMSI in that case, and if it's locking these callers out, why they can't do the same for the IMEI.