Its still a sorcery speed draw spell, but its a staple everywhere
Colorless flash indestructibility on an indestructible equipment that snaps on
An effect may refer to a card, spell, or permanent that "has an Adventure." This refers to a card, spell, or permanent that has an adventurer card's set of alternative characteristics, even if they're not being used and even if that card was never cast as an Adventure
Or, if it fits your game plan, loop through it yourself for and leave your opponent out of it
After all, you are playing with fire
The full texts of these abilities are "At the beginning of the monarch's end step, that player draws a card" and "Whenever a creature deals combat damage to the monarch, its controller becomes the monarch." If the triggered ability that causes the monarch to draw a card goes on the stack and a different player becomes the monarch before that ability resolves, the first player will still draw the card