Apologies for bringing back a long dead post. I was wondering the origins of the logo, since I saw it during a play-through of Senran Kagura Estival Versus a year ago. Took me awhile to think about it again, so I searched and found this thread.
After reading the description and uses of the symbol, this part of the Wikipedia article stood out to me...
A third element of its symbolic panorama concerns water, an association engendered by its swirling pattern. For this reason, it is said to be located on roofs and gables as a charm against fire.
OBS is a streaming application, and small rivers tend to be called "streams". Plus, the one thing we as streamers dont want to see is our broadcasts turning into a dumpster fire (from a technical side. sometimes the dumpster fire is the content we produce, but thats a different story all together). I like the idea of the logo being a "charm against fire", as it fits well with the whole process of broadcasting. We want our broadcasts to flow like water and not fall apart in a ball of fire.