After some research, this is what i have found...H4H bulbs are used for JDM Civic and Integra headlight bulbs that dont use a regular H4...it just hit me now too cuz i used to have a 92 Integra with one pieces but couldnt find any H4 bulbs that would fit...so thats why they have the H4H...heres a side by side comparison..
I believe its only a matter of difference in the bases that will allow the light beam to shine properly in those specific headlights...for JDM preludes headlights tho, you need NOT worry about that....from looking at the pic, it looks like the H4H bulb will even stick out too far...Hope this helps a bit.