In real life, players use the card title as a means to refer to a particular card
This doesn't change the fact that the permanents phase in simultaneously, however
That alternate casting cost requires me to return a tapped creature I control to its owner's hand
Brimaz, Blight of Oreskos fronts its own Phyrexian themed deck
On the other hand, if you create a token or otherwise create a copy of a permanent that's already on the Battlefield (with something like Clone), you won't have promised a Gift, and any additional effects from the Gift won't happen either
By taxing your opponent out of their ability to set up blockers or attack you with all of their Creatures, Archangel of Tithes provides a huge amount of advantage for a relatively low mana cost