FSK and I just had yet another breakthrough in our understanding of how bombslides work. And the implications of this are kind of a big deal.
Yes, the fabled bombslide down throw is a thing, but there's more.
This discovery completely changes our idea of how bombslides work. Previously we just had it down to being a matter of cancelling the dash throw with a second throw in some direction, but on that picture the thing that activated the bombslide was the timing of the second throw. This is incorrect.
The thing that activates bombslides is the upwards input, and this can be done as a completely separate action on a completely different frame to the second throw input.
Let me give you an example.
Pull a bomb, run forwards, hit and hold attack to do the dash throw, on the first or second frames of the dash throw hit special and backwards (i.e. the A + B input method), nothing will happen, feel free to let go of everything (it won't affect the result), Link will continue to do the dash throw, then on the fifth frame of the dash throw animation input upwards on the joystick. What do you think will happen? Our old understanding would tell us that nothing will happen, Link will just continue to do a dash throw; but this is not the case. In fact, Link will do a bombslide back throw fake out.
The Upwards input is what activates the bombslide, it cancels the dash throw if there has been another item based move input either on the same frame as the upwards input or on any previous frame.
[It absolutely must be an upwards input and not a jump input from tap-jump, so once again, if you want to bombslide, turn that tap-jump off unless you plan to only use the C-stick method.]
[I'll have to go and re-write much of the bombslide write-up in the OP at some point now.]
Implications:
Bombslide down throw is possible, and the bombslide backwards and forward throws can be easier to perform by trading the insane precision normally required from the joystick input with greater precision required for button inputs.
How to do a bombslide down throw.
Well it's really difficult so you won't be seeing this in real time in any real matches any time soon unless you have the quickest joystick thumb, so you know, too bad for all the meteor bomb lovers out there I guess. Note that we will be using the A + B method as that is the only joystick related method in which you can input the second throw on the first frame of the dash throw without it screwing up.
Essentially you pull a bomb, run forwards, hit and hold attack to do the dash throw, then on the very next frame i.e. frame 1 of the dash throw - hit down special, then on the very next frame i.e. frame 2 of the dash throw (because of course the dash throw has not been cancelled yet) - hit Up on the joystick. The result is the fabled non-fake out Bombslide Down-throw that has been mechanically possible this whole time, just to our previous knowledge impossible to perform.
The same idea can be used to make the (non-fake out) bombslide back throw and bombslide forward throws easier too.
Pull bomb, run, hit and hold attack to dash throw, on the first frame of the dash throw input backwards or forwards and special depending on which direction you want to throw the bomb, then on the second frame of the dash throw hit the joystick Upwards (no joystick precision required; just do a very quick rolling quarter circle motion).
The only reason it was previously necessary to have that joystick precision just below the diagonal indent was because of the fact that previously we only really knew about the grab + attack input method which didn't allow for the second throw input to be made on the first frame of the dash throw animation; and because the upwards joystick input has to be done on the second frame at the latest, this meant that the joystick had to do two things at once on the same (2nd) frame; it had to be held either backwards or forwards to direct the second throw and at the same time it also had to be held upwards to activate the bombslide. But with the extra frame granted by using the A + B method, there is no longer this requirement for the joystick to be in two places at once. All that is required of you is that you do the second throw input one frame after the first throw input and the joystick requirements become much easier.
Incidentally, the item discard bombslide can be done with this whole idea in mind too without the need for the A-stick (just return the joystick to neutral while inputting the item discard and then on a later frame input upwards). Unfortunately it still requires the hold grab then hit attack input method.
Just for the record, FSK and I looked into it, and while it is possible to do non-fake out item discard slides while holding e.g. beam swords, it is impossible to do them while holding an item such as a bomb. That's just the way the game is programmed. If you do the exact same input that allowed you to do a non-fake out item discard slide while holding a beamsword only you try it while holding e.g. a bomb, you'll just get a Bombslide Forward-throw.