I've owned/maintained 3 Hondas (currently 2), and never been concerned about using "Honda" Dot3 BF. As said, Dot 3 is a spec that the BF fluid is supposed to meet to be called Dot 3. It either does or it doesn't. So yeah, bunk imo.
Actually I've been using a DOT 4 fluid in my Hondas, which meets a higher spec than Dot 3.
I've have used Z-1 ATF, because of Honda's less than stellar AT rep. Now with my 07 3.0L Accord out of warranty and Z-1 superseded, I'm going to go with Maxlife ATF for the next tranny D&F.
And I've used the less expensive Bardahl 'Made for Hondas' PSF.
So use DOT3 or DOT4 BF and don't sweat the Honda stuff.