The bandwidth of the pipe is not the problem here. But processing material in bulk can fill up any buffer chest you give the output if the next stage is slower. Salt, for example, jams this setup. Fortunately, the large crusher outputs items at the bottom so instead of a pipe I placed a 6-slot hopper which does not limit bandwidth when the crusher is working as items are pushed into it, and when the crusher jams, the hopper pulls items, thus unblocking the crusher. Unfortunately, not all machines output at the bottom so a possible solution would be a hopper and a cheap conveyor belt for when there is a jam.
Ultimet pipes are a blessing. 
I also made use of ultimet hoppers for tiny purified ore buffering at the boxinator input.
That’s interesting. I haven’t noticed machines misbehaving on chunk borders.