This is true even if the card draw is replaced by one or more card draws
For instance, if Nahiri, Storm of Stone is on the battlefield, Nicol Bolas deals the damage if you activate the ability he gained from her
You may choose to discard your hand even if your hand contains zero cards
I do believe, though, that design is in a healthy place, and that we're continuing to improve our ability to make awesome Magic sets
Though most of his deck was Armor monsters and their support cards, he has Kishido Spirit and My Body as a Shield in his hand after Jonouchi attacks him with Lord of the Red
(6/6/2025) If the ability that's copied is modal (that is, it says "Choose one " or the like), the copy will have the same mode