I will tell you this. I forgot how 3.41 was cracked into but I do know at the time the keys were not generated. They were found the same way TB was found I am under the impression that the guys who were over the operation had the keys released. Idk what keys it was but I do know the key was not a generated key.
With that being said if Sony actually made the private key today how it was intended years go then the ps3 "to this day" would of never gotten cracked. Which is why I am so confident that the Ps4 or "Orbits" will not be cracked because of the very same reason why the ps3 cant be cracked from scratch over 3.60
It is the same concept not the firmware. If the private key was random in the first place then nobody would of found a jailbreak.
Ps3 Phat 250gb 4.31 OFW (Currently Playing Dead Space 3 [Chapter 10] / Hitman Absolution / COD MW3 )
Ps3 Phat 80gb 3.55 CFW