I'd expect consumer protection agencies getting involved and then proceed to tell to the industry consortium which is responsible for these power sockets that it is not OK at all for things to catch fire.

Meaning that after an investigation it is possible that regulators might withdraw CE and its US equivalent markings from any product having one of these sockets on them, making it illegal to sell or even import any of these into US / EU.

Fire hazard is a pretty damn serious issue.

As a short-term fix NVIDIA/AMD, etc would probably issue a driver/firmware update that limits the released cards to max ~400W. The connectors themselves might have to wait a few years until the next hardware gen to get improved somehow.

Too little pins, too many amps and almost no case in use has enough room above the card to leave 35 mm space from the connector until you bend the cable. The 4000 series are already pretty thicc then you plug in there a connector, that is itself some 10-15mm long, then you need 40 mm more plus whatever the bend takes as its not like these cables can be bent easily at sharp 90 degree angle.