I certainly didn't appreciate how much SIM cards are the keys to our modern lives until mine got stolen. Interestingly, my thieves took a different tack: they
actually stole the physical SIM card! You might ask how this could happen: I was traveling internationally and had a friendly guy at an official kiosk in the Heathrow arrivals hall swap out my SIM card for a local SIM. He palmed my SIM and gave me back a dud without me noticing. He then shipped it back to Atlanta where collaborators used it to blindly called credit card support numbers. Some of these credit card numbers were hits — places where I had existing accounts and where they recognized my phone number. They social-engineered their way to get the CC companies to divulge more information about me — including the CC numbers themselves — allowing them to increase my credit limits and open new cards. They then went on a $40k shopping spree.
Of course I didn't notice until I came home. The dud card he gave me worked for 24 hours (I still don't understand how). And even after it stopped working, it took me quite some time to piece together everything that happened — I didn't realize that the SIM card I had wasn't mine for quite some time. Fortunately they did the equivalent of an identity theft smash-and-grab. It was relatively easy to identify and reverse, and they didn't compromise any tech 2FA services.
Interestingly Heathrow police didn't care as the "theft" was only a $5 SIM card and not a "high enough value item" to warrant investigation.
tldr: Don't let anyone ever touch your SIM cards.