Poison tai applies poison only with tai or nintai effects and applies it to dodge targets whem the dodge still has to be procced only if used with a mystery (the first standard attack of the round never delivers poison to an evasive target) the reason why works so is blatantly the fact that otherwise would be too weak as a bonus effect and would be in no way comparable with pose of duel, anbu special tactics or the sb leaching effect.

About interruption, interruption is not a debuff that's why immune to debuff targets are not immune to it. Beware that when an effect delivers a control effect (acupuncture, sleep, immobile, chaos)it actually apply also interruption, that's why imho you mistook interruption as a debuff while is not (infact you can interrupt a full immune target with a control effect).

Tried it. Jonin minato, kakuzu earth grudge and edo tobirama did not interrupt it.

Because gets interrupted by a controlling effect that follows the chase, like, for example, kurenai chase.