Demilich does not consider perpetual modifiers on cards in the graveyard.
When Demilich effect triggers, allowing you to cast a card from the graveyard, it does not allow you to pay the alternative cost applied by a perpetual card effect (i.e. mana of any colour can be spent to cast this); it required me to play white mana (on a modified light's hope, conjured by Tome of the Infinite.
As far as I can tell I should be able to cast the cost paying any colour of mana as indicated by the modified card.
FrostFox#72279
shared this idea
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Rezzahan#77802
commented
Demilich does not allow you to cast the card from the graveyard. It exiles it and makes a copy in exile, then allows you to cast that copy. Copies only aquire the copiable values of the original. The ability granted to the conjured card is not a copiable value, so it is not copied, and you still have to pay the mana cost of the card without modifications.