I'm not up on the subtlties of this law, but as a layman:
'Protected Computers' should include those machines that store personal information. Many machines do that, some store personal information over the long term, others over the sort term, so it is difficult to express exactly what should and what shouldn't fit that definition.
Further to that, the definition of 'computer' is getting harrier all the time. Where does one start and another begin?
So maybe it makes more sense to define protected information on computer systems.
Maybe make accessing systems you do not have the authority to access a petty crime, with penalties equal to trespass.
Then, make accessing private, secret, or financial data that you don't have the authority to access a more serious crime.
So, if you break into someone's laptop but just sit at the command line, you get fined $50. If you read their private files, you get prison time.