Some Interruptive Effects can sometimes prevent an action that it interrupts. Some other interruptive effects can change what happens from that action or effect. It can be difficult to identify the difference between the two kinds of effects. The difference between these two effects causes differences in the way costs are resolved when they are interrupting a cost. Prevention effects will treat it as if the cost was not paid, and the effects following the cost can't be performed. Redirection effects allows you to change what is allowable for the cost, and so can fulfill the requirements of a cost.
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Both prevention effects and redirection effects will trigger as Interruptive Effects. However, their effects affect the action/effect they are replacing differently.
Effects that specify "prevent [action]" (Prevention effects) prevent an action from happening (e.g. Decoy preventing deletion for 1 of the Digimon), so even if it pays a cost of the same action it will not trigger effects that fulfil the condition of "deleted by this effect" by the effect it is interrupting and it will not fulfil costs of "Delete 1 of your Digimon".
Effects that specify "instead" (Redirection effects) replace what the current effect is going to do (e.g. [BT10-084 Tactimon] and [BT3-056 Ceresmon]), so it will be treated as if the original effect performed its cost and fulfil "performed by this effect" conditions.