Am I the only one here that actually owns a Falcon?
I've played the game in question. It's identical to the Amiga-version.
There aren't that many Falcon-specific games. The machine never took off, as Atari had economic problems at the time, and they were focusing on the Jaguar instead.
Anyway, the Falcon is a nice machine. Loads more powerful than an A1200. Faster processor, better and faster graphics, much better sound, and a built-in SCSI port at the back.
But it is much harder to upgrade than an A1200. Most accelerators require that you solder wires to various spots on the motherboard.
Also, the Falcon has almost no compatibility with the ST when it comes to games. Very few work at all.