While this card is in the digivolution cards of a Digimon with [Shoutmon] in its name, do my opponent's Security Digimon get -2000 DP from this card's inherited effect even when they are checked by some other Digimon?
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Yes, they get -2000 DP even when checked by some other Digimon than the one that has this in its digivolution cards.
Source: BT10-034 Dorulumon