Channel Harm only prevents damage that would be dealt to you and permanents you control; it makes no attempt to prevent damage that would be dealt to your teammate or your teammate's permanents. There's no overlap between those two sets, so there's no way for the effect from Channel Harm to have multiple “affected players” that need to make choices.
As for
Pariah and
Protean Hydra, the Hydra has a prevention effect, not a replacement effect–the two are similar, but they have at least one very big difference: unless the damage is unpreventable, prevention effects can and will invoke themselves repeatedly to the same event if they're still applicable. So when in your example you apply the Hydra's effect first, then Pariah's, the Hydra's prevention effect becomes applicable to the event once more, and is applied a second time to prevent that damage as well.
So, since both questions are moot, neither of them really sheds any light on anything.
It's probably worth noting that while the “all or nothing” situation created by multiple
Channel Harms may be somewhat weird at first glance, it's already been around for years thanks to cards like
Empyrial Archangel and
Palisade Giant without causing any significant amount of confusion or grief in casual play, nor any at all in competitive play. It's at best a corner case, and there's little benefit to be gained from hashing it out repeatedly here in Rules Q&A. If anyone would like to continue discussing it, I suggest taking the matter to
Rules Theory and Templating on the Wizards forums.