No idea what youve been told, but there's no special boing bag required for OWB.
Also, bare in mind that 68k OWB is, at best, brutally raw. Its too slow on anything but amithlon, and even then its only usable once pages are fully loaded. There's no real browser to speak of with it, but its rendering engine is based on Webkit.
Any screenshots you see of it are probably for Morphos, OS4, or AROS versions.
The only dependencies Im aware of that it has are SDL and possibly ixemul.
Unfortunately OS3.x has no particularly good browsers. Netsurf isnt quite as raw as OWB, but it's still kinda rough around the edges and lacks javascript, IBrowse has quite a nice browser, but the rendering engine is about a decade old (for the most part), AWeb is much the same, only with not as nice a browser, and Voyager is somewhere inbetween then 2.
One almost essential tool for amigaos is snoopdos. It'll tell you what libraries, etc. are missing when software fails.