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Is it just me, or does this only occur when someone has physical access to the hardware-RSA encryptor which has the private key inside it?

In which case, this is 1024-bit hardware RSA encryption being cracked... but it has nothing to do in particular with RSA (pook's linked article mentions it works well on other encryption algorithms), and everything to do with causing glitches in the encrypting hardware. Endlessly threatening / useful to hardware makers / hackers, and meaningless in terms of algorithmic security.

Alarmist title FTW.