just to clarify, the difference isn't necessarily "OBD" related.
more like,
B18A1's (OBD0 or OBD1) had the H and Honda Motor Co.
B18B1's (which were OBD1 also, until 96, of course) just had the Honda Motor Co.
B18B1's and B20B's had the "commonly named" OBD2 valve cover, which is far superior looking, in my honest opinion.
my car is a 92, which is OBD1, and i have both the H and Honda Motor Co. badging.
I trust this mofo's work, lol. he's doing my mine as we speak. (better be, nucca) lol, you know i kid, i kid.