Crypto doesn't force banks to do that.
Also, if it was a real problem, there would be legislation for it since RSA became a thing.
And if it was, having a 3rd-party timestamping server and regular cryptographic signatures would be enough to solve it. No bank in their right mind would burn terawatts of power to prevent an error that has a 0.00001% chance of happening and costs virtually nothing to fix.