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

Which player gains for this card's <On Play> <When Digivolving> effect?
The player that activated this effect.
Ruled Jun 28, 2024
What happens if this card's <On Play> <When Digivolving> effect is activated when my opponent only has a Digimon with a "this Digimon isn't affected by your opponent’s effects" effect in their battle area?
It can be chosen as a target for the effect, but the "if this effect didn't delete" effect will activate without your opponent's Digimon being deleted.
Ruled Jun 28, 2024
What does this card's "when [...] would leave the battle area" mean, exactly?
"When [...] would leave the battle area" refers to when this Digimon is placed in the trash, returned to the hand/deck, placed in the security stack, moved to the breeding area, or placed under another card.
Ruled Jun 28, 2024
When this Digimon would leave the battle area, can I use this card's <All Turns> effect to return 1 [Lucemon] from its digivolution cards or my trash to the bottom of the deck, but choose to not play 1 [Lucemon: Satan Mode] or 1 level 6 [Seven Great Demon Lords] Digimon card from my trash?
Yes, you can. This effect reads "you may play," so if you perform the conditions specified for "by X," you may choose whether or not to activate the effect shown in text.
Ruled Jun 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.