That case was goofy because he initially typed in his password in front of law enforcement and provided them access, which nullified any claims of self incrimination.
It'd be similar to confessing to murder, telling the cops where the body is, and then invoking your right to remain silent, and expecting them not to look for the body under "fruit of the poisonous tree" logic.
You might be right. The wikipedia page said "the laptop was powered-up", which is a little ambiguous ("was [already?] powered-up"). But I think the principal is the same in either case. He already volunteered the information once.
It'd be similar to confessing to murder, telling the cops where the body is, and then invoking your right to remain silent, and expecting them not to look for the body under "fruit of the poisonous tree" logic.