I know the kind of tricks that you mean, Joe. They have started to appear as gnarly tricks on the more recent 'hardcore' videos that are coming out. (An example escapes me right now.)
"Fast hand" tricks mean (to my mind, at least) that you switch which bit of the kendama you are holding on to just before the trick is completed. Thus "fast hand base cup" ends the same as base cup, but begins with the hand holding the ball and not the ken.
I don't think the tricks in question are "fast hand", since there is the additional factor of a throw, rather than just a release & change of hand position. I don't know what they're called, or if anyone Japanese or otherwise has already christened them, but how about a working title of "fast throw (lighthouse/whatever)"? It at least distinguishes them from other tricks, and gives you a chance to work out what the trick is from the name.
So, let's test that theory. I'm thinking of a trick, which I'm calling "Fast Throw Base Cup". What do you cats think I mean?