I'm not really sure of how your party is supposed to affect the Tetris part but there're plenty of things I like here, assembling a party then playing Tetris is really my kind of thing, and I restarted a couple of times to see some of the enemy designs because they're very cool and they're quite some different ones. The game overall looks pretty good and the tunes are catchy.
The fact that the speed of the blocks never increases means you have to mash the down button even after a while in this version, I think you can't really make a piece slide on the bottom floor either.