By the way, for those who care, I did some deeper research on these spinner rides with "platform change" abilities. There are two types, one a bit smaller with more of a central spin and the slightly larger whip rides where you spin off axis.
Smaller Variety:
The Whrilpool - Mermaid Lagoon, Tokyo Disney Sea - This is more like the Teacups in the seating and the seats rotate on an axis and around the larger spinning platforms.
Cars Race Rally - Toon Studio, Disney Studios Paris - This is similar to the above except you are seated in a car with everyone facing the same direction.
Francis' Ladybug Boogie - A Bug's Land, Disney California Adventure (permanently closed) - This is very similar to the above.
Larger Variety:
Mater's Junkyard Jamboree - Cars Land, Disney California Adventure - These are all practically clones of one another and operate like the "whip rides" described.
Alien Swirling Saucers - Toy Story Land, Disney's Hollywood Studios
Woody's Round-Up - Toy Story Land, Shanghai
Disneyland PArk
Baymax Happy Ride - Tomorrowland, Tokyo Disneyland (coming soon)