can a monster effect trigger illusion 2nd effect to summon a DM.

For example let say there a DM in grave and I active magician rod use the effect of rod and let me search
does magician of dark illusion effect active

alot of people claim that it only works with Spell or trap when the card effect says "Spell/trap or effect"
Magician of Dark Illusion can only be triggered when a Spell/Trap card is activated, not when a monster effect that includes the word spell/trap effect is activated.
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