That player takes an extra turn after that one
This is by design and it's a trade-off between speed and usability: when the whole process ends, in each position you'll have different cards, but they will be grouped by title/set
For those card playing teachers out there who want to add some extra pizazz to their Get to Know Me's, this is for you
Being able to exile it then put it back on the battlefield allows you to exile other cards from your hand or graveyard and increase the number of abilities you stack up
Tamiyo, Inquisitive Student is just an unreasonable card to play on turn 1, which you can do every single time with this flipwalker as your commander
For just three mana you get to take an artifact, creature, enchantment, or land and put it directly to play from your hand