It turns out that ZOTAC has been selling both its RTX 3060 cards before NVIDIA's release embargo on February 25. Now, the ZOTAC GeForce RTX 3060 Twin Edge OC Edition has popped up in a video about mining Ethereum. However, it seems that the RTX 3060 can tell that it is mining cryptocurrencies even without software drivers being installed, which points to NVIDIA having baked something within the BIOS, not just its drivers.
https://www.notebookcheck.net/ZOTAC-GeForce-RTX-3060-showed-off-by-crypto-miner-on-YouTube-hash-rate-limitations-may-be-linked-to-the-BIOS-not-just-to-software-drivers.522758.0.html