The FAQ says :
A Moribund card (and its attachments) is
considered to have been killed, discarded,
returned to its owner's hand or deck, or moved
to its owner's shadows area, but only for the
purposes of triggering responses and passive
abilities. This includes responses and passive
abilities triggered by a card being placed in
the appropriate out-of-play area. A Moribund
card is, for all other purposes, still considered
in play.
So let's say that my Red Viper dies, and I choose to his Response: killing all characters. I am allowed to do this because although my Red Viper is considered to have left play, I can initiate his Response thanks to the FAQ.
However, my opponent has a Bloodrider and wants to cancel The Red Viper triggered ability... or triggered effect? As a matter of fact, TRV is considered out-of-play for the purposes of triggering responses (such as Bloodrider's). And the rules say that an effect triggered from out of play is not considered an ability.
So, TRV kill effect would not be a triggered ability but only a triggered effect, not cancelable by Bloodrider, and able to kill another copy of TRV (Immune to character abilities) that my opponent has in play.
The FAQ also says:
In other words, a Moribund card is considered
to have left play but is physically still in play
Which also support this reasoning.
However I still have some doubts but can't find where it might be wrong - so I have posted it here.