We are talking about divorce cases (amongst other things). These should be private matters and there is no public benefit in this being made available for free via Google. To take your argument to its natural conclusion, all your interactions with publicly funded entities should be freely available as well. For example, maybe your medical records, your school transcripts, transcripts of complaints made to police about you, etc.
I think most people who are lionising Aaron's efforts in "freeing" the PACER data really do so because they are in love with an idea rather than because of any considered assessment of the value (and harm) that this content could bring if made freely available.