Ozz: Only battlefield, maybe PS1 because those platforms are roughly the same right. it will only land if the are on the edge or lying down (atleast, from personal experience thats what has worked) oh and yoshi's island when the platform is tilted or you are on the higher point of the main floor (i think)
and yes it is somewhat character specific, Larger characters are easier to hit, also larger shields are easy to hit.
Crifer: Iv never had that happen before or heard of it happening, Yoshis Islands ledges have fairly weird properties so it may just be a very rare occurrence exclusive to Yoshi's Island.
However this has made me curious, if you have to patience test it out and see what you can find.