4 official rulings from Bandai, last ruled Mar 28, 2024. Straight answers to how this card actually resolves.

Can I use this card's <When Digivolving> effect to look at the card that my opponent adds to their hand from their security stack?
No, you can't. This card’s <When Digivolving> effect can only be used to search your opponent's hand for the card you choose to trash from their hand.
Ruled Mar 28, 2024
If I use this card's <When Attacking> effect to return my opponent's [Greymon] to the bottom of their deck from their trash, can I delete my opponent's cards such as [MetalGreymon] and [WarGreymon]?
No, you can't. This card's <When Attacking> effect reads ""your opponent's Digimon that share a name with the returned card,"" therefore if you return your opponent's [Greymon] to their deck, you can only delete your opponent's Digimon with the [Greymon] name.
Ruled Mar 28, 2024
If I use this card's <When Attacking> effect to return my opponent's card with "This card/Digimon is also treated as [XX]" to the bottom of their deck from their trash, can I delete both my opponent's Digimon with the same name as that card and my opponent's Digimon with the [XX] name?
Yes, you can.
Ruled Mar 28, 2024
If the card that my opponent adds to their hand from their security stack by this card's <When Digivolving> effect has a <Security> effect, does that effect activate?
No, since the card was not revealed by a security check, its <Security> effect can't be activated.
Ruled Mar 28, 2024
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Questions and answers are Bandai's official rulings, collected and translated by the DigimonCardGame Wiki community and reused here under CC BY-SA. Card names and card text are © their respective publishers; Combalo is not affiliated with Bandai.