I was using Lambda's 214D~C and her 214A to test since Lambda can run pretty fast after it and reach Haku around the same time. But it is all moot because I just looked at the frame data and Haku's catch attribute is unblockable and not throw.
Most projectile-based (if not all) forms of oki, like Daisharin, 13 Orphans, Makoto's 236A (I believe), Ignis twirl, ect. Lambda's and Mu's oki would also count if they were in the game.
6B isn't throw invul. It just puts him into the air. You can ground throw him out of the start-up and air throw him once he is in the air.
Edit: I've been in this thread too much lately.