Hopefully someone else can provide a more comprehensive answer, but in the interim, there was some discussion on the topic here: Important PSA about "bring your own fan"
I haven’t measured personally, but my sense is that the HS will cool slightly better but be noticeably louder. The G2 is a more modern design that is more effective at a given RPM, and it exceeds the recommendations given by the Framework team, so it should be sufficient.