As some people mentioned, it is a bit sad that we don’t have direct writings of R. Soloveitchik, with very few exceptions. Most of what we have is transcribed, or second hand notes. This has unfortunately led many people to say whatever they want, and attribute to him. We don’t have something like an Igros Moshe where you can look up and see the reasons and parameters in black and white.
Nevertheless, even in the gemara we often see machloksin among talmidim about what their rebbe said, i.e., Rav Huna amar Rav, Rav Chisda amar Rav.