It feels like the TurboGrafx-16 was the shortest lived system on this list (the Virtual Boy earns that "honor"). 1993 was near the height of the 16-bit console war and the TurboGrafx-16 couldn't keep up with the Genesis and Super Nintendo (although the Japanese equivalent PC-Engine would survive until 1997). What ultimately killed the system was the near total absence of third party support. Hudson Soft was one of their few supporters and published the last game in the US. Bomberman and Bonk were the closest the TurboGrafx-16 had to franchise characters.
In that regard, Bomberman '93 was a "safe" game to publish even while the system was faltering. The TurboGrafx-16 had a dedicated, albeit small, following that was practically guaranteed to buy X copies of a franchise title.
Bomberman '93 was marketed as a "party game", no surprise it was announced to be a launch title for Nintendo Wii Virtual Console.