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." (6/16/2023) 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
When it comes to proxies, Wizards doesn't care about what it calls 'playtest' cards, outside of sanctioned tournaments and events
Even better, it is at instant speed, so you can cast it just before your turn starts and draw whatever answer you need on your turn
I speak to the trees, and moss grows on my north side. -Liv Arnemis Collect the magical groove-maker of the black team
And believe me, well get to that soon enough, trust me